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Finding the Fourth Proportional to 572.98, 855.12 and 558.40

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Solution

The fourth proportional to 572.98, 855.12 and 558.40 is: 833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.98 : 855.12 = 558.40 : x
  2. Step 2: Convert to fraction form
    572.98/855.12 = 558.40/x
  3. Step 3: Cross multiply
    572.98x = 855.12 × 558.40
  4. Step 4: Simplify right side
    572.98x = 477,499.01
  5. Step 5: Solve for x
    x = 477,499.01/572.98
  6. Step 6: Final answer
    x = 833.36

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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.