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Finding the Fourth Proportional to 575.02, 862.80 and 358.75

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Solution

The fourth proportional to 575.02, 862.80 and 358.75 is: 538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 862.80 = 358.75 : x
  2. Step 2: Convert to fraction form
    575.02/862.80 = 358.75/x
  3. Step 3: Cross multiply
    575.02x = 862.80 × 358.75
  4. Step 4: Simplify right side
    575.02x = 309,529.50
  5. Step 5: Solve for x
    x = 309,529.50/575.02
  6. Step 6: Final answer
    x = 538.29

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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.