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Finding the Fourth Proportional to 652.84, 978.73 and 306.01

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Solution

The fourth proportional to 652.84, 978.73 and 306.01 is: 458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 978.73 = 306.01 : x
  2. Step 2: Convert to fraction form
    652.84/978.73 = 306.01/x
  3. Step 3: Cross multiply
    652.84x = 978.73 × 306.01
  4. Step 4: Simplify right side
    652.84x = 299,494.74
  5. Step 5: Solve for x
    x = 299,494.74/652.84
  6. Step 6: Final answer
    x = 458.76

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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.