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Finding the Fourth Proportional to 977.53, 1,466.33 and 319.41

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Solution

The fourth proportional to 977.53, 1,466.33 and 319.41 is: 479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.53 : 1,466.33 = 319.41 : x
  2. Step 2: Convert to fraction form
    977.53/1,466.33 = 319.41/x
  3. Step 3: Cross multiply
    977.53x = 1,466.33 × 319.41
  4. Step 4: Simplify right side
    977.53x = 468,351.54
  5. Step 5: Solve for x
    x = 468,351.54/977.53
  6. Step 6: Final answer
    x = 479.12

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Why These Related Problems?

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