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Finding the Fourth Proportional to 529.34, 730.51 and 296.42

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Solution

The fourth proportional to 529.34, 730.51 and 296.42 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 730.51 = 296.42 : x
  2. Step 2: Convert to fraction form
    529.34/730.51 = 296.42/x
  3. Step 3: Cross multiply
    529.34x = 730.51 × 296.42
  4. Step 4: Simplify right side
    529.34x = 216,533.38
  5. Step 5: Solve for x
    x = 216,533.38/529.34
  6. Step 6: Final answer
    x = 409.07

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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.