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Finding the Fourth Proportional to 601.71, 830.13 and 404.91

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Solution

The fourth proportional to 601.71, 830.13 and 404.91 is: 558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.71 : 830.13 = 404.91 : x
  2. Step 2: Convert to fraction form
    601.71/830.13 = 404.91/x
  3. Step 3: Cross multiply
    601.71x = 830.13 × 404.91
  4. Step 4: Simplify right side
    601.71x = 336,121.76
  5. Step 5: Solve for x
    x = 336,121.76/601.71
  6. Step 6: Final answer
    x = 558.62

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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.