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Finding the Fourth Proportional to 469.29, 647.70 and 282.80

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Solution

The fourth proportional to 469.29, 647.70 and 282.80 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.29 : 647.70 = 282.80 : x
  2. Step 2: Convert to fraction form
    469.29/647.70 = 282.80/x
  3. Step 3: Cross multiply
    469.29x = 647.70 × 282.80
  4. Step 4: Simplify right side
    469.29x = 183,172.24
  5. Step 5: Solve for x
    x = 183,172.24/469.29
  6. Step 6: Final answer
    x = 390.32

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