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Finding the Fourth Proportional to 261.30, 390.34 and 260.04

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Solution

The fourth proportional to 261.30, 390.34 and 260.04 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 390.34 = 260.04 : x
  2. Step 2: Convert to fraction form
    261.30/390.34 = 260.04/x
  3. Step 3: Cross multiply
    261.30x = 390.34 × 260.04
  4. Step 4: Simplify right side
    261.30x = 101,503.36
  5. Step 5: Solve for x
    x = 101,503.36/261.30
  6. Step 6: Final answer
    x = 388.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.