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Finding the Fourth Proportional to 595.59, 817.46 and 540.24

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Solution

The fourth proportional to 595.59, 817.46 and 540.24 is: 741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 817.46 = 540.24 : x
  2. Step 2: Convert to fraction form
    595.59/817.46 = 540.24/x
  3. Step 3: Cross multiply
    595.59x = 817.46 × 540.24
  4. Step 4: Simplify right side
    595.59x = 441,624.59
  5. Step 5: Solve for x
    x = 441,624.59/595.59
  6. Step 6: Final answer
    x = 741.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.