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Finding the Fourth Proportional to 710.16, 979.72 and 414.92

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Solution

The fourth proportional to 710.16, 979.72 and 414.92 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.16 : 979.72 = 414.92 : x
  2. Step 2: Convert to fraction form
    710.16/979.72 = 414.92/x
  3. Step 3: Cross multiply
    710.16x = 979.72 × 414.92
  4. Step 4: Simplify right side
    710.16x = 406,499.49
  5. Step 5: Solve for x
    x = 406,499.49/710.16
  6. Step 6: Final answer
    x = 572.41

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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.