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Finding the Fourth Proportional to 601.76, 830.86 and 470.54

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Solution

The fourth proportional to 601.76, 830.86 and 470.54 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 830.86 = 470.54 : x
  2. Step 2: Convert to fraction form
    601.76/830.86 = 470.54/x
  3. Step 3: Cross multiply
    601.76x = 830.86 × 470.54
  4. Step 4: Simplify right side
    601.76x = 390,952.86
  5. Step 5: Solve for x
    x = 390,952.86/601.76
  6. Step 6: Final answer
    x = 649.68

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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.