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Finding the Fourth Proportional to 472.87, 708.49 and 256.60

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Solution

The fourth proportional to 472.87, 708.49 and 256.60 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.87 : 708.49 = 256.60 : x
  2. Step 2: Convert to fraction form
    472.87/708.49 = 256.60/x
  3. Step 3: Cross multiply
    472.87x = 708.49 × 256.60
  4. Step 4: Simplify right side
    472.87x = 181,798.53
  5. Step 5: Solve for x
    x = 181,798.53/472.87
  6. Step 6: Final answer
    x = 384.46

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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.