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Finding the Fourth Proportional to 572.02, 856.86 and 365.62

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Solution

The fourth proportional to 572.02, 856.86 and 365.62 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.02 : 856.86 = 365.62 : x
  2. Step 2: Convert to fraction form
    572.02/856.86 = 365.62/x
  3. Step 3: Cross multiply
    572.02x = 856.86 × 365.62
  4. Step 4: Simplify right side
    572.02x = 313,285.15
  5. Step 5: Solve for x
    x = 313,285.15/572.02
  6. Step 6: Final answer
    x = 547.68

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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.