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Finding the Fourth Proportional to 677.90, 935.15 and 456.98

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Solution

The fourth proportional to 677.90, 935.15 and 456.98 is: 630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 935.15 = 456.98 : x
  2. Step 2: Convert to fraction form
    677.90/935.15 = 456.98/x
  3. Step 3: Cross multiply
    677.90x = 935.15 × 456.98
  4. Step 4: Simplify right side
    677.90x = 427,337.89
  5. Step 5: Solve for x
    x = 427,337.89/677.90
  6. Step 6: Final answer
    x = 630.38

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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.