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Finding the Fourth Proportional to 529.60, 730.83 and 296.68

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Solution

The fourth proportional to 529.60, 730.83 and 296.68 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 730.83 = 296.68 : x
  2. Step 2: Convert to fraction form
    529.60/730.83 = 296.68/x
  3. Step 3: Cross multiply
    529.60x = 730.83 × 296.68
  4. Step 4: Simplify right side
    529.60x = 216,822.64
  5. Step 5: Solve for x
    x = 216,822.64/529.60
  6. Step 6: Final answer
    x = 409.41

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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.