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Finding the Fourth Proportional to 502.83, 695.66 and 415.35

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Solution

The fourth proportional to 502.83, 695.66 and 415.35 is: 574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.83 : 695.66 = 415.35 : x
  2. Step 2: Convert to fraction form
    502.83/695.66 = 415.35/x
  3. Step 3: Cross multiply
    502.83x = 695.66 × 415.35
  4. Step 4: Simplify right side
    502.83x = 288,940.30
  5. Step 5: Solve for x
    x = 288,940.30/502.83
  6. Step 6: Final answer
    x = 574.63

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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.