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Finding the Fourth Proportional to 652.77, 978.70 and 305.92

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Solution

The fourth proportional to 652.77, 978.70 and 305.92 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 978.70 = 305.92 : x
  2. Step 2: Convert to fraction form
    652.77/978.70 = 305.92/x
  3. Step 3: Cross multiply
    652.77x = 978.70 × 305.92
  4. Step 4: Simplify right side
    652.77x = 299,400.69
  5. Step 5: Solve for x
    x = 299,400.69/652.77
  6. Step 6: Final answer
    x = 458.66

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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.