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Finding the Fourth Proportional to 503.74, 695.46 and 356.68

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Solution

The fourth proportional to 503.74, 695.46 and 356.68 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.74 : 695.46 = 356.68 : x
  2. Step 2: Convert to fraction form
    503.74/695.46 = 356.68/x
  3. Step 3: Cross multiply
    503.74x = 695.46 × 356.68
  4. Step 4: Simplify right side
    503.74x = 248,056.67
  5. Step 5: Solve for x
    x = 248,056.67/503.74
  6. Step 6: Final answer
    x = 492.43

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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.