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Finding the Fourth Proportional to 586.39, 879.73 and 175.52

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Solution

The fourth proportional to 586.39, 879.73 and 175.52 is: 263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.39 : 879.73 = 175.52 : x
  2. Step 2: Convert to fraction form
    586.39/879.73 = 175.52/x
  3. Step 3: Cross multiply
    586.39x = 879.73 × 175.52
  4. Step 4: Simplify right side
    586.39x = 154,410.21
  5. Step 5: Solve for x
    x = 154,410.21/586.39
  6. Step 6: Final answer
    x = 263.32

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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.