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Finding the Fourth Proportional to 593.55, 889.47 and 319.10

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Solution

The fourth proportional to 593.55, 889.47 and 319.10 is: 478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.55 : 889.47 = 319.10 : x
  2. Step 2: Convert to fraction form
    593.55/889.47 = 319.10/x
  3. Step 3: Cross multiply
    593.55x = 889.47 × 319.10
  4. Step 4: Simplify right side
    593.55x = 283,825.43
  5. Step 5: Solve for x
    x = 283,825.43/593.55
  6. Step 6: Final answer
    x = 478.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.