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Finding the Fourth Proportional to 501.12, 688.08 and 426.56

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Solution

The fourth proportional to 501.12, 688.08 and 426.56 is: 585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 688.08 = 426.56 : x
  2. Step 2: Convert to fraction form
    501.12/688.08 = 426.56/x
  3. Step 3: Cross multiply
    501.12x = 688.08 × 426.56
  4. Step 4: Simplify right side
    501.12x = 293,507.40
  5. Step 5: Solve for x
    x = 293,507.40/501.12
  6. Step 6: Final answer
    x = 585.70

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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.