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Finding the Fourth Proportional to 581.37, 871.71 and 386.16

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Solution

The fourth proportional to 581.37, 871.71 and 386.16 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.37 : 871.71 = 386.16 : x
  2. Step 2: Convert to fraction form
    581.37/871.71 = 386.16/x
  3. Step 3: Cross multiply
    581.37x = 871.71 × 386.16
  4. Step 4: Simplify right side
    581.37x = 336,619.53
  5. Step 5: Solve for x
    x = 336,619.53/581.37
  6. Step 6: Final answer
    x = 579.01

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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.