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Finding the Fourth Proportional to 465.61, 642.00 and 424.93

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Solution

The fourth proportional to 465.61, 642.00 and 424.93 is: 585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 642.00 = 424.93 : x
  2. Step 2: Convert to fraction form
    465.61/642.00 = 424.93/x
  3. Step 3: Cross multiply
    465.61x = 642.00 × 424.93
  4. Step 4: Simplify right side
    465.61x = 272,805.05
  5. Step 5: Solve for x
    x = 272,805.05/465.61
  6. Step 6: Final answer
    x = 585.91

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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.