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Finding the Fourth Proportional to 715.47, 987.33 and 435.66

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Solution

The fourth proportional to 715.47, 987.33 and 435.66 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.47 : 987.33 = 435.66 : x
  2. Step 2: Convert to fraction form
    715.47/987.33 = 435.66/x
  3. Step 3: Cross multiply
    715.47x = 987.33 × 435.66
  4. Step 4: Simplify right side
    715.47x = 430,140.19
  5. Step 5: Solve for x
    x = 430,140.19/715.47
  6. Step 6: Final answer
    x = 601.20

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