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Finding the Fourth Proportional to 593.97, 819.50 and 384.15

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Solution

The fourth proportional to 593.97, 819.50 and 384.15 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.97 : 819.50 = 384.15 : x
  2. Step 2: Convert to fraction form
    593.97/819.50 = 384.15/x
  3. Step 3: Cross multiply
    593.97x = 819.50 × 384.15
  4. Step 4: Simplify right side
    593.97x = 314,810.93
  5. Step 5: Solve for x
    x = 314,810.93/593.97
  6. Step 6: Final answer
    x = 530.01

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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.