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Finding the Fourth Proportional to 509.88, 702.62 and 460.20

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Solution

The fourth proportional to 509.88, 702.62 and 460.20 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 702.62 = 460.20 : x
  2. Step 2: Convert to fraction form
    509.88/702.62 = 460.20/x
  3. Step 3: Cross multiply
    509.88x = 702.62 × 460.20
  4. Step 4: Simplify right side
    509.88x = 323,345.72
  5. Step 5: Solve for x
    x = 323,345.72/509.88
  6. Step 6: Final answer
    x = 634.16

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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.