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Finding the Fourth Proportional to 976.95, 1,465.62 and 318.99

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Solution

The fourth proportional to 976.95, 1,465.62 and 318.99 is: 478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.95 : 1,465.62 = 318.99 : x
  2. Step 2: Convert to fraction form
    976.95/1,465.62 = 318.99/x
  3. Step 3: Cross multiply
    976.95x = 1,465.62 × 318.99
  4. Step 4: Simplify right side
    976.95x = 467,518.12
  5. Step 5: Solve for x
    x = 467,518.12/976.95
  6. Step 6: Final answer
    x = 478.55

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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.