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Finding the Fourth Proportional to 343.23, 473.12 and 260.01

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Solution

The fourth proportional to 343.23, 473.12 and 260.01 is: 358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 473.12 = 260.01 : x
  2. Step 2: Convert to fraction form
    343.23/473.12 = 260.01/x
  3. Step 3: Cross multiply
    343.23x = 473.12 × 260.01
  4. Step 4: Simplify right side
    343.23x = 123,013.57
  5. Step 5: Solve for x
    x = 123,013.57/343.23
  6. Step 6: Final answer
    x = 358.40

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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.