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Finding the Fourth Proportional to 581.88, 867.74 and 534.62

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Solution

The fourth proportional to 581.88, 867.74 and 534.62 is: 797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.88 : 867.74 = 534.62 : x
  2. Step 2: Convert to fraction form
    581.88/867.74 = 534.62/x
  3. Step 3: Cross multiply
    581.88x = 867.74 × 534.62
  4. Step 4: Simplify right side
    581.88x = 463,911.16
  5. Step 5: Solve for x
    x = 463,911.16/581.88
  6. Step 6: Final answer
    x = 797.26

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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.