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Finding the Fourth Proportional to 587.28, 810.53 and 366.28

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Solution

The fourth proportional to 587.28, 810.53 and 366.28 is: 505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 810.53 = 366.28 : x
  2. Step 2: Convert to fraction form
    587.28/810.53 = 366.28/x
  3. Step 3: Cross multiply
    587.28x = 810.53 × 366.28
  4. Step 4: Simplify right side
    587.28x = 296,880.93
  5. Step 5: Solve for x
    x = 296,880.93/587.28
  6. Step 6: Final answer
    x = 505.52

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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.