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Finding the Fourth Proportional to 593.04, 819.36 and 560.64

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Solution

The fourth proportional to 593.04, 819.36 and 560.64 is: 774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 819.36 = 560.64 : x
  2. Step 2: Convert to fraction form
    593.04/819.36 = 560.64/x
  3. Step 3: Cross multiply
    593.04x = 819.36 × 560.64
  4. Step 4: Simplify right side
    593.04x = 459,365.99
  5. Step 5: Solve for x
    x = 459,365.99/593.04
  6. Step 6: Final answer
    x = 774.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.