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Finding the Fourth Proportional to 652.57, 978.54 and 305.80

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Solution

The fourth proportional to 652.57, 978.54 and 305.80 is: 458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.57 : 978.54 = 305.80 : x
  2. Step 2: Convert to fraction form
    652.57/978.54 = 305.80/x
  3. Step 3: Cross multiply
    652.57x = 978.54 × 305.80
  4. Step 4: Simplify right side
    652.57x = 299,237.53
  5. Step 5: Solve for x
    x = 299,237.53/652.57
  6. Step 6: Final answer
    x = 458.55

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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.