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Finding the Fourth Proportional to 652.39, 978.53 and 305.63

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Solution

The fourth proportional to 652.39, 978.53 and 305.63 is: 458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.39 : 978.53 = 305.63 : x
  2. Step 2: Convert to fraction form
    652.39/978.53 = 305.63/x
  3. Step 3: Cross multiply
    652.39x = 978.53 × 305.63
  4. Step 4: Simplify right side
    652.39x = 299,069.84
  5. Step 5: Solve for x
    x = 299,069.84/652.39
  6. Step 6: Final answer
    x = 458.42

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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.