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Finding the Fourth Proportional to 487.64, 731.98 and 435.96

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Solution

The fourth proportional to 487.64, 731.98 and 435.96 is: 654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 731.98 = 435.96 : x
  2. Step 2: Convert to fraction form
    487.64/731.98 = 435.96/x
  3. Step 3: Cross multiply
    487.64x = 731.98 × 435.96
  4. Step 4: Simplify right side
    487.64x = 319,114.00
  5. Step 5: Solve for x
    x = 319,114.00/487.64
  6. Step 6: Final answer
    x = 654.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.