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Finding the Fourth Proportional to 470, 648.64 and 260.20

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Solution

The fourth proportional to 470, 648.64 and 260.20 is: 359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470 : 648.64 = 260.20 : x
  2. Step 2: Convert to fraction form
    470/648.64 = 260.20/x
  3. Step 3: Cross multiply
    470x = 648.64 × 260.20
  4. Step 4: Simplify right side
    470x = 168,776.13
  5. Step 5: Solve for x
    x = 168,776.13/470
  6. Step 6: Final answer
    x = 359.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.