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Finding the Fourth Proportional to 593.16, 818.39 and 357.08

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Solution

The fourth proportional to 593.16, 818.39 and 357.08 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.16 : 818.39 = 357.08 : x
  2. Step 2: Convert to fraction form
    593.16/818.39 = 357.08/x
  3. Step 3: Cross multiply
    593.16x = 818.39 × 357.08
  4. Step 4: Simplify right side
    593.16x = 292,224.82
  5. Step 5: Solve for x
    x = 292,224.82/593.16
  6. Step 6: Final answer
    x = 492.66

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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.