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Finding the Fourth Proportional to 340.01, 469.23 and 215.57

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Solution

The fourth proportional to 340.01, 469.23 and 215.57 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 469.23 = 215.57 : x
  2. Step 2: Convert to fraction form
    340.01/469.23 = 215.57/x
  3. Step 3: Cross multiply
    340.01x = 469.23 × 215.57
  4. Step 4: Simplify right side
    340.01x = 101,152.28
  5. Step 5: Solve for x
    x = 101,152.28/340.01
  6. Step 6: Final answer
    x = 297.50

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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.