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Finding the Fourth Proportional to 574.30, 859.39 and 497.53

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Solution

The fourth proportional to 574.30, 859.39 and 497.53 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 859.39 = 497.53 : x
  2. Step 2: Convert to fraction form
    574.30/859.39 = 497.53/x
  3. Step 3: Cross multiply
    574.30x = 859.39 × 497.53
  4. Step 4: Simplify right side
    574.30x = 427,572.31
  5. Step 5: Solve for x
    x = 427,572.31/574.30
  6. Step 6: Final answer
    x = 744.51

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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.