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Finding the Fourth Proportional to 652.62, 978.90 and 470.34

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Solution

The fourth proportional to 652.62, 978.90 and 470.34 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.62 : 978.90 = 470.34 : x
  2. Step 2: Convert to fraction form
    652.62/978.90 = 470.34/x
  3. Step 3: Cross multiply
    652.62x = 978.90 × 470.34
  4. Step 4: Simplify right side
    652.62x = 460,415.83
  5. Step 5: Solve for x
    x = 460,415.83/652.62
  6. Step 6: Final answer
    x = 705.49

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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.