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Finding the Fourth Proportional to 652.68, 978.00 and 305.95

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Solution

The fourth proportional to 652.68, 978.00 and 305.95 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 978.00 = 305.95 : x
  2. Step 2: Convert to fraction form
    652.68/978.00 = 305.95/x
  3. Step 3: Cross multiply
    652.68x = 978.00 × 305.95
  4. Step 4: Simplify right side
    652.68x = 299,220.95
  5. Step 5: Solve for x
    x = 299,220.95/652.68
  6. Step 6: Final answer
    x = 458.45

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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.