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Finding the Fourth Proportional to 529.64, 730.14 and 411.80

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Solution

The fourth proportional to 529.64, 730.14 and 411.80 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.64 : 730.14 = 411.80 : x
  2. Step 2: Convert to fraction form
    529.64/730.14 = 411.80/x
  3. Step 3: Cross multiply
    529.64x = 730.14 × 411.80
  4. Step 4: Simplify right side
    529.64x = 300,671.65
  5. Step 5: Solve for x
    x = 300,671.65/529.64
  6. Step 6: Final answer
    x = 567.69

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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.