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Finding the Fourth Proportional to 0.52, 0.71 and 0.34

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Solution

The fourth proportional to 0.52, 0.71 and 0.34 is: 0.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.52 : 0.71 = 0.34 : x
  2. Step 2: Convert to fraction form
    0.52/0.71 = 0.34/x
  3. Step 3: Cross multiply
    0.52x = 0.71 × 0.34
  4. Step 4: Simplify right side
    0.52x = 0.24
  5. Step 5: Solve for x
    x = 0.24/0.52
  6. Step 6: Final answer
    x = 0.46

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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.