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Finding the Fourth Proportional to 529.33, 730.48 and 296.46

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Solution

The fourth proportional to 529.33, 730.48 and 296.46 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.33 : 730.48 = 296.46 : x
  2. Step 2: Convert to fraction form
    529.33/730.48 = 296.46/x
  3. Step 3: Cross multiply
    529.33x = 730.48 × 296.46
  4. Step 4: Simplify right side
    529.33x = 216,558.10
  5. Step 5: Solve for x
    x = 216,558.10/529.33
  6. Step 6: Final answer
    x = 409.12

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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.