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Finding the Fourth Proportional to 581.40, 867 and 534.12

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Solution

The fourth proportional to 581.40, 867 and 534.12 is: 796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 867 = 534.12 : x
  2. Step 2: Convert to fraction form
    581.40/867 = 534.12/x
  3. Step 3: Cross multiply
    581.40x = 867 × 534.12
  4. Step 4: Simplify right side
    581.40x = 463,082.04
  5. Step 5: Solve for x
    x = 463,082.04/581.40
  6. Step 6: Final answer
    x = 796.49

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Double scale
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1.5x scale

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.