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Finding the Fourth Proportional to 469.23, 647.51 and 282.78

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Solution

The fourth proportional to 469.23, 647.51 and 282.78 is: 390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 647.51 = 282.78 : x
  2. Step 2: Convert to fraction form
    469.23/647.51 = 282.78/x
  3. Step 3: Cross multiply
    469.23x = 647.51 × 282.78
  4. Step 4: Simplify right side
    469.23x = 183,105.20
  5. Step 5: Solve for x
    x = 183,105.20/469.23
  6. Step 6: Final answer
    x = 390.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.