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Finding the Fourth Proportional to 672.98, 928.40 and 463.19

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Solution

The fourth proportional to 672.98, 928.40 and 463.19 is: 638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.98 : 928.40 = 463.19 : x
  2. Step 2: Convert to fraction form
    672.98/928.40 = 463.19/x
  3. Step 3: Cross multiply
    672.98x = 928.40 × 463.19
  4. Step 4: Simplify right side
    672.98x = 430,018.64
  5. Step 5: Solve for x
    x = 430,018.64/672.98
  6. Step 6: Final answer
    x = 638.98

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.