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Finding the Fourth Proportional to 571.92, 858.78 and 469.86

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Solution

The fourth proportional to 571.92, 858.78 and 469.86 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.92 : 858.78 = 469.86 : x
  2. Step 2: Convert to fraction form
    571.92/858.78 = 469.86/x
  3. Step 3: Cross multiply
    571.92x = 858.78 × 469.86
  4. Step 4: Simplify right side
    571.92x = 403,506.37
  5. Step 5: Solve for x
    x = 403,506.37/571.92
  6. Step 6: Final answer
    x = 705.53

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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.