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Finding the Fourth Proportional to 472.32, 651.52 and 288

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Solution

The fourth proportional to 472.32, 651.52 and 288 is: 397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 651.52 = 288 : x
  2. Step 2: Convert to fraction form
    472.32/651.52 = 288/x
  3. Step 3: Cross multiply
    472.32x = 651.52 × 288
  4. Step 4: Simplify right side
    472.32x = 187,637.76
  5. Step 5: Solve for x
    x = 187,637.76/472.32
  6. Step 6: Final answer
    x = 397.27

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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.