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Finding the Fourth Proportional to 572.98, 858.86 and 410.58

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Solution

The fourth proportional to 572.98, 858.86 and 410.58 is: 615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.98 : 858.86 = 410.58 : x
  2. Step 2: Convert to fraction form
    572.98/858.86 = 410.58/x
  3. Step 3: Cross multiply
    572.98x = 858.86 × 410.58
  4. Step 4: Simplify right side
    572.98x = 352,630.74
  5. Step 5: Solve for x
    x = 352,630.74/572.98
  6. Step 6: Final answer
    x = 615.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.