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Finding the Fourth Proportional to 586.40, 879.55 and 175.63

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Solution

The fourth proportional to 586.40, 879.55 and 175.63 is: 263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 879.55 = 175.63 : x
  2. Step 2: Convert to fraction form
    586.40/879.55 = 175.63/x
  3. Step 3: Cross multiply
    586.40x = 879.55 × 175.63
  4. Step 4: Simplify right side
    586.40x = 154,471.66
  5. Step 5: Solve for x
    x = 154,471.66/586.40
  6. Step 6: Final answer
    x = 263.42

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