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Finding the Fourth Proportional to 469.29, 647.65 and 282.86

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Solution

The fourth proportional to 469.29, 647.65 and 282.86 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.29 : 647.65 = 282.86 : x
  2. Step 2: Convert to fraction form
    469.29/647.65 = 282.86/x
  3. Step 3: Cross multiply
    469.29x = 647.65 × 282.86
  4. Step 4: Simplify right side
    469.29x = 183,189.63
  5. Step 5: Solve for x
    x = 183,189.63/469.29
  6. Step 6: Final answer
    x = 390.35

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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.