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Finding the Fourth Proportional to 469.60, 648.32 and 283.20

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Solution

The fourth proportional to 469.60, 648.32 and 283.20 is: 390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 648.32 = 283.20 : x
  2. Step 2: Convert to fraction form
    469.60/648.32 = 283.20/x
  3. Step 3: Cross multiply
    469.60x = 648.32 × 283.20
  4. Step 4: Simplify right side
    469.60x = 183,602.81
  5. Step 5: Solve for x
    x = 183,602.81/469.60
  6. Step 6: Final answer
    x = 390.98

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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.