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Finding the Fourth Proportional to 469.95, 648.59 and 283.45

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Solution

The fourth proportional to 469.95, 648.59 and 283.45 is: 391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.95 : 648.59 = 283.45 : x
  2. Step 2: Convert to fraction form
    469.95/648.59 = 283.45/x
  3. Step 3: Cross multiply
    469.95x = 648.59 × 283.45
  4. Step 4: Simplify right side
    469.95x = 183,839.59
  5. Step 5: Solve for x
    x = 183,839.59/469.95
  6. Step 6: Final answer
    x = 391.19

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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.