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Finding the Fourth Proportional to 586.70, 810.28 and 366.18

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Solution

The fourth proportional to 586.70, 810.28 and 366.18 is: 505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.70 : 810.28 = 366.18 : x
  2. Step 2: Convert to fraction form
    586.70/810.28 = 366.18/x
  3. Step 3: Cross multiply
    586.70x = 810.28 × 366.18
  4. Step 4: Simplify right side
    586.70x = 296,708.33
  5. Step 5: Solve for x
    x = 296,708.33/586.70
  6. Step 6: Final answer
    x = 505.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.