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Finding the Fourth Proportional to 652.48, 978.96 and 470.08

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Solution

The fourth proportional to 652.48, 978.96 and 470.08 is: 705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 978.96 = 470.08 : x
  2. Step 2: Convert to fraction form
    652.48/978.96 = 470.08/x
  3. Step 3: Cross multiply
    652.48x = 978.96 × 470.08
  4. Step 4: Simplify right side
    652.48x = 460,189.52
  5. Step 5: Solve for x
    x = 460,189.52/652.48
  6. Step 6: Final answer
    x = 705.29

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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.