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Finding the Fourth Proportional to 472.17, 651.60 and 265.17

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Solution

The fourth proportional to 472.17, 651.60 and 265.17 is: 365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.17 : 651.60 = 265.17 : x
  2. Step 2: Convert to fraction form
    472.17/651.60 = 265.17/x
  3. Step 3: Cross multiply
    472.17x = 651.60 × 265.17
  4. Step 4: Simplify right side
    472.17x = 172,784.77
  5. Step 5: Solve for x
    x = 172,784.77/472.17
  6. Step 6: Final answer
    x = 365.94

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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.