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Finding the Fourth Proportional to 509.40, 702.52 and 411.12

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Solution

The fourth proportional to 509.40, 702.52 and 411.12 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 702.52 = 411.12 : x
  2. Step 2: Convert to fraction form
    509.40/702.52 = 411.12/x
  3. Step 3: Cross multiply
    509.40x = 702.52 × 411.12
  4. Step 4: Simplify right side
    509.40x = 288,820.02
  5. Step 5: Solve for x
    x = 288,820.02/509.40
  6. Step 6: Final answer
    x = 566.98

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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.