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Finding the Fourth Proportional to 672.93, 928.73 and 407.38

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Solution

The fourth proportional to 672.93, 928.73 and 407.38 is: 562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.93 : 928.73 = 407.38 : x
  2. Step 2: Convert to fraction form
    672.93/928.73 = 407.38/x
  3. Step 3: Cross multiply
    672.93x = 928.73 × 407.38
  4. Step 4: Simplify right side
    672.93x = 378,348.97
  5. Step 5: Solve for x
    x = 378,348.97/672.93
  6. Step 6: Final answer
    x = 562.24

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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.