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Finding the Fourth Proportional to 601.47, 830.69 and 404.64

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Solution

The fourth proportional to 601.47, 830.69 and 404.64 is: 558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.47 : 830.69 = 404.64 : x
  2. Step 2: Convert to fraction form
    601.47/830.69 = 404.64/x
  3. Step 3: Cross multiply
    601.47x = 830.69 × 404.64
  4. Step 4: Simplify right side
    601.47x = 336,129.90
  5. Step 5: Solve for x
    x = 336,129.90/601.47
  6. Step 6: Final answer
    x = 558.85

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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.