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Finding the Fourth Proportional to 469.72, 648.24 and 283.24

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Solution

The fourth proportional to 469.72, 648.24 and 283.24 is: 390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 648.24 = 283.24 : x
  2. Step 2: Convert to fraction form
    469.72/648.24 = 283.24/x
  3. Step 3: Cross multiply
    469.72x = 648.24 × 283.24
  4. Step 4: Simplify right side
    469.72x = 183,607.50
  5. Step 5: Solve for x
    x = 183,607.50/469.72
  6. Step 6: Final answer
    x = 390.89

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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.