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Finding the Fourth Proportional to 572.48, 856.68 and 464

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Solution

The fourth proportional to 572.48, 856.68 and 464 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 856.68 = 464 : x
  2. Step 2: Convert to fraction form
    572.48/856.68 = 464/x
  3. Step 3: Cross multiply
    572.48x = 856.68 × 464
  4. Step 4: Simplify right side
    572.48x = 397,499.52
  5. Step 5: Solve for x
    x = 397,499.52/572.48
  6. Step 6: Final answer
    x = 694.35

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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.