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Finding the Fourth Proportional to 709.77, 979.13 and 414.98

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Solution

The fourth proportional to 709.77, 979.13 and 414.98 is: 572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.77 : 979.13 = 414.98 : x
  2. Step 2: Convert to fraction form
    709.77/979.13 = 414.98/x
  3. Step 3: Cross multiply
    709.77x = 979.13 × 414.98
  4. Step 4: Simplify right side
    709.77x = 406,312.40
  5. Step 5: Solve for x
    x = 406,312.40/709.77
  6. Step 6: Final answer
    x = 572.46

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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.