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Finding the Fourth Proportional to 529.45, 730.64 and 296.57

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Solution

The fourth proportional to 529.45, 730.64 and 296.57 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.45 : 730.64 = 296.57 : x
  2. Step 2: Convert to fraction form
    529.45/730.64 = 296.57/x
  3. Step 3: Cross multiply
    529.45x = 730.64 × 296.57
  4. Step 4: Simplify right side
    529.45x = 216,684.42
  5. Step 5: Solve for x
    x = 216,684.42/529.45
  6. Step 6: Final answer
    x = 409.27

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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.