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Finding the Fourth Proportional to 954.99, 1,432.49 and 305.72

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Solution

The fourth proportional to 954.99, 1,432.49 and 305.72 is: 458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.99 : 1,432.49 = 305.72 : x
  2. Step 2: Convert to fraction form
    954.99/1,432.49 = 305.72/x
  3. Step 3: Cross multiply
    954.99x = 1,432.49 × 305.72
  4. Step 4: Simplify right side
    954.99x = 437,945.58
  5. Step 5: Solve for x
    x = 437,945.58/954.99
  6. Step 6: Final answer
    x = 458.59

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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.