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Finding the Fourth Proportional to 582.16, 869.78 and 555.28

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Solution

The fourth proportional to 582.16, 869.78 and 555.28 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 869.78 = 555.28 : x
  2. Step 2: Convert to fraction form
    582.16/869.78 = 555.28/x
  3. Step 3: Cross multiply
    582.16x = 869.78 × 555.28
  4. Step 4: Simplify right side
    582.16x = 482,971.44
  5. Step 5: Solve for x
    x = 482,971.44/582.16
  6. Step 6: Final answer
    x = 829.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.