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Finding the Fourth Proportional to 474.66, 710.98 and 335.54

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Solution

The fourth proportional to 474.66, 710.98 and 335.54 is: 502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 710.98 = 335.54 : x
  2. Step 2: Convert to fraction form
    474.66/710.98 = 335.54/x
  3. Step 3: Cross multiply
    474.66x = 710.98 × 335.54
  4. Step 4: Simplify right side
    474.66x = 238,563.17
  5. Step 5: Solve for x
    x = 238,563.17/474.66
  6. Step 6: Final answer
    x = 502.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.