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Finding the Fourth Proportional to 601.16, 897.32 and 558.36

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Solution

The fourth proportional to 601.16, 897.32 and 558.36 is: 833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 897.32 = 558.36 : x
  2. Step 2: Convert to fraction form
    601.16/897.32 = 558.36/x
  3. Step 3: Cross multiply
    601.16x = 897.32 × 558.36
  4. Step 4: Simplify right side
    601.16x = 501,027.60
  5. Step 5: Solve for x
    x = 501,027.60/601.16
  6. Step 6: Final answer
    x = 833.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.