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Finding the Fourth Proportional to 593.98, 819.04 and 407.50

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Solution

The fourth proportional to 593.98, 819.04 and 407.50 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.98 : 819.04 = 407.50 : x
  2. Step 2: Convert to fraction form
    593.98/819.04 = 407.50/x
  3. Step 3: Cross multiply
    593.98x = 819.04 × 407.50
  4. Step 4: Simplify right side
    593.98x = 333,758.80
  5. Step 5: Solve for x
    x = 333,758.80/593.98
  6. Step 6: Final answer
    x = 561.90

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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.