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Finding the Fourth Proportional to 557.32, 769.20 and 361

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Solution

The fourth proportional to 557.32, 769.20 and 361 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.32 : 769.20 = 361 : x
  2. Step 2: Convert to fraction form
    557.32/769.20 = 361/x
  3. Step 3: Cross multiply
    557.32x = 769.20 × 361
  4. Step 4: Simplify right side
    557.32x = 277,681.20
  5. Step 5: Solve for x
    x = 277,681.20/557.32
  6. Step 6: Final answer
    x = 498.24

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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.