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Finding the Fourth Proportional to 503.74, 695.35 and 356.52

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Solution

The fourth proportional to 503.74, 695.35 and 356.52 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.74 : 695.35 = 356.52 : x
  2. Step 2: Convert to fraction form
    503.74/695.35 = 356.52/x
  3. Step 3: Cross multiply
    503.74x = 695.35 × 356.52
  4. Step 4: Simplify right side
    503.74x = 247,909.24
  5. Step 5: Solve for x
    x = 247,909.24/503.74
  6. Step 6: Final answer
    x = 492.14

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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.