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Finding the Fourth Proportional to 474.71, 711.51 and 420.71

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Solution

The fourth proportional to 474.71, 711.51 and 420.71 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 711.51 = 420.71 : x
  2. Step 2: Convert to fraction form
    474.71/711.51 = 420.71/x
  3. Step 3: Cross multiply
    474.71x = 711.51 × 420.71
  4. Step 4: Simplify right side
    474.71x = 299,339.37
  5. Step 5: Solve for x
    x = 299,339.37/474.71
  6. Step 6: Final answer
    x = 630.57

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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.