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Finding the Fourth Proportional to 474.59, 711.06 and 457.58

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Solution

The fourth proportional to 474.59, 711.06 and 457.58 is: 685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.59 : 711.06 = 457.58 : x
  2. Step 2: Convert to fraction form
    474.59/711.06 = 457.58/x
  3. Step 3: Cross multiply
    474.59x = 711.06 × 457.58
  4. Step 4: Simplify right side
    474.59x = 325,363.28
  5. Step 5: Solve for x
    x = 325,363.28/474.59
  6. Step 6: Final answer
    x = 685.57

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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.