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Finding the Fourth Proportional to 652.26, 977.34 and 479.34

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Solution

The fourth proportional to 652.26, 977.34 and 479.34 is: 718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.26 : 977.34 = 479.34 : x
  2. Step 2: Convert to fraction form
    652.26/977.34 = 479.34/x
  3. Step 3: Cross multiply
    652.26x = 977.34 × 479.34
  4. Step 4: Simplify right side
    652.26x = 468,478.16
  5. Step 5: Solve for x
    x = 468,478.16/652.26
  6. Step 6: Final answer
    x = 718.24

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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.