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Finding the Fourth Proportional to 469.50, 647.84 and 282.86

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Solution

The fourth proportional to 469.50, 647.84 and 282.86 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 647.84 = 282.86 : x
  2. Step 2: Convert to fraction form
    469.50/647.84 = 282.86/x
  3. Step 3: Cross multiply
    469.50x = 647.84 × 282.86
  4. Step 4: Simplify right side
    469.50x = 183,248.02
  5. Step 5: Solve for x
    x = 183,248.02/469.50
  6. Step 6: Final answer
    x = 390.30

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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.