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Finding the Fourth Proportional to 977.59, 1,466.61 and 319.49

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Solution

The fourth proportional to 977.59, 1,466.61 and 319.49 is: 479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.59 : 1,466.61 = 319.49 : x
  2. Step 2: Convert to fraction form
    977.59/1,466.61 = 319.49/x
  3. Step 3: Cross multiply
    977.59x = 1,466.61 × 319.49
  4. Step 4: Simplify right side
    977.59x = 468,569.35
  5. Step 5: Solve for x
    x = 468,569.35/977.59
  6. Step 6: Final answer
    x = 479.31

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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.