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Finding the Fourth Proportional to 529.14, 730.18 and 296.26

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Solution

The fourth proportional to 529.14, 730.18 and 296.26 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 730.18 = 296.26 : x
  2. Step 2: Convert to fraction form
    529.14/730.18 = 296.26/x
  3. Step 3: Cross multiply
    529.14x = 730.18 × 296.26
  4. Step 4: Simplify right side
    529.14x = 216,323.13
  5. Step 5: Solve for x
    x = 216,323.13/529.14
  6. Step 6: Final answer
    x = 408.82

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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.