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Finding the Fourth Proportional to 579.47, 800.54 and 468.74

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Solution

The fourth proportional to 579.47, 800.54 and 468.74 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.47 : 800.54 = 468.74 : x
  2. Step 2: Convert to fraction form
    579.47/800.54 = 468.74/x
  3. Step 3: Cross multiply
    579.47x = 800.54 × 468.74
  4. Step 4: Simplify right side
    579.47x = 375,248.29
  5. Step 5: Solve for x
    x = 375,248.29/579.47
  6. Step 6: Final answer
    x = 647.58

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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.