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Finding the Fourth Proportional to 0.65, 0.97 and 0.40

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Solution

The fourth proportional to 0.65, 0.97 and 0.40 is: 0.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.65 : 0.97 = 0.40 : x
  2. Step 2: Convert to fraction form
    0.65/0.97 = 0.40/x
  3. Step 3: Cross multiply
    0.65x = 0.97 × 0.40
  4. Step 4: Simplify right side
    0.65x = 0.38
  5. Step 5: Solve for x
    x = 0.38/0.65
  6. Step 6: Final answer
    x = 0.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.