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Finding the Fourth Proportional to 424.56, 586 and 293.75

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Solution

The fourth proportional to 424.56, 586 and 293.75 is: 405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 586 = 293.75 : x
  2. Step 2: Convert to fraction form
    424.56/586 = 293.75/x
  3. Step 3: Cross multiply
    424.56x = 586 × 293.75
  4. Step 4: Simplify right side
    424.56x = 172,137.50
  5. Step 5: Solve for x
    x = 172,137.50/424.56
  6. Step 6: Final answer
    x = 405.45

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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.