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Finding the Fourth Proportional to 572.91, 858.07 and 279.96

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Solution

The fourth proportional to 572.91, 858.07 and 279.96 is: 419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.91 : 858.07 = 279.96 : x
  2. Step 2: Convert to fraction form
    572.91/858.07 = 279.96/x
  3. Step 3: Cross multiply
    572.91x = 858.07 × 279.96
  4. Step 4: Simplify right side
    572.91x = 240,225.28
  5. Step 5: Solve for x
    x = 240,225.28/572.91
  6. Step 6: Final answer
    x = 419.31

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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.