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Finding the Fourth Proportional to 586.81, 880.40 and 343.81

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Solution

The fourth proportional to 586.81, 880.40 and 343.81 is: 515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 880.40 = 343.81 : x
  2. Step 2: Convert to fraction form
    586.81/880.40 = 343.81/x
  3. Step 3: Cross multiply
    586.81x = 880.40 × 343.81
  4. Step 4: Simplify right side
    586.81x = 302,690.32
  5. Step 5: Solve for x
    x = 302,690.32/586.81
  6. Step 6: Final answer
    x = 515.82

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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.