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Finding the Fourth Proportional to 465.60, 698.68 and 303.28

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Solution

The fourth proportional to 465.60, 698.68 and 303.28 is: 455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 698.68 = 303.28 : x
  2. Step 2: Convert to fraction form
    465.60/698.68 = 303.28/x
  3. Step 3: Cross multiply
    465.60x = 698.68 × 303.28
  4. Step 4: Simplify right side
    465.60x = 211,895.67
  5. Step 5: Solve for x
    x = 211,895.67/465.60
  6. Step 6: Final answer
    x = 455.10

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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.