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Finding the Fourth Proportional to 502.17, 692.64 and 460.86

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Solution

The fourth proportional to 502.17, 692.64 and 460.86 is: 635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.17 : 692.64 = 460.86 : x
  2. Step 2: Convert to fraction form
    502.17/692.64 = 460.86/x
  3. Step 3: Cross multiply
    502.17x = 692.64 × 460.86
  4. Step 4: Simplify right side
    502.17x = 319,210.07
  5. Step 5: Solve for x
    x = 319,210.07/502.17
  6. Step 6: Final answer
    x = 635.66

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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.