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Finding the Fourth Proportional to 529.13, 730.20 and 296.26

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Solution

The fourth proportional to 529.13, 730.20 and 296.26 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.13 : 730.20 = 296.26 : x
  2. Step 2: Convert to fraction form
    529.13/730.20 = 296.26/x
  3. Step 3: Cross multiply
    529.13x = 730.20 × 296.26
  4. Step 4: Simplify right side
    529.13x = 216,328.34
  5. Step 5: Solve for x
    x = 216,328.34/529.13
  6. Step 6: Final answer
    x = 408.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.