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Finding the Fourth Proportional to 593.12, 818.62 and 416.90

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Solution

The fourth proportional to 593.12, 818.62 and 416.90 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 818.62 = 416.90 : x
  2. Step 2: Convert to fraction form
    593.12/818.62 = 416.90/x
  3. Step 3: Cross multiply
    593.12x = 818.62 × 416.90
  4. Step 4: Simplify right side
    593.12x = 341,277.54
  5. Step 5: Solve for x
    x = 341,277.54/593.12
  6. Step 6: Final answer
    x = 575.40

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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.