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Finding the Fourth Proportional to 572.58, 858.96 and 207.48

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Solution

The fourth proportional to 572.58, 858.96 and 207.48 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.58 : 858.96 = 207.48 : x
  2. Step 2: Convert to fraction form
    572.58/858.96 = 207.48/x
  3. Step 3: Cross multiply
    572.58x = 858.96 × 207.48
  4. Step 4: Simplify right side
    572.58x = 178,217.02
  5. Step 5: Solve for x
    x = 178,217.02/572.58
  6. Step 6: Final answer
    x = 311.25

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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.