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Finding the Fourth Proportional to 469.46, 647.89 and 282.95

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Solution

The fourth proportional to 469.46, 647.89 and 282.95 is: 390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 647.89 = 282.95 : x
  2. Step 2: Convert to fraction form
    469.46/647.89 = 282.95/x
  3. Step 3: Cross multiply
    469.46x = 647.89 × 282.95
  4. Step 4: Simplify right side
    469.46x = 183,319.06
  5. Step 5: Solve for x
    x = 183,319.06/469.46
  6. Step 6: Final answer
    x = 390.49

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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.