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Finding the Fourth Proportional to 465.60, 698.40 and 283.35

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Solution

The fourth proportional to 465.60, 698.40 and 283.35 is: 425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 698.40 = 283.35 : x
  2. Step 2: Convert to fraction form
    465.60/698.40 = 283.35/x
  3. Step 3: Cross multiply
    465.60x = 698.40 × 283.35
  4. Step 4: Simplify right side
    465.60x = 197,891.64
  5. Step 5: Solve for x
    x = 197,891.64/465.60
  6. Step 6: Final answer
    x = 425.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.