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Finding the Fourth Proportional to 621.47, 856.14 and 434.61

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Solution

The fourth proportional to 621.47, 856.14 and 434.61 is: 598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.47 : 856.14 = 434.61 : x
  2. Step 2: Convert to fraction form
    621.47/856.14 = 434.61/x
  3. Step 3: Cross multiply
    621.47x = 856.14 × 434.61
  4. Step 4: Simplify right side
    621.47x = 372,082.72
  5. Step 5: Solve for x
    x = 372,082.72/621.47
  6. Step 6: Final answer
    x = 598.72

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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.