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Finding the Fourth Proportional to 582.76, 870.36 and 495.17

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Solution

The fourth proportional to 582.76, 870.36 and 495.17 is: 739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 870.36 = 495.17 : x
  2. Step 2: Convert to fraction form
    582.76/870.36 = 495.17/x
  3. Step 3: Cross multiply
    582.76x = 870.36 × 495.17
  4. Step 4: Simplify right side
    582.76x = 430,971.81
  5. Step 5: Solve for x
    x = 430,971.81/582.76
  6. Step 6: Final answer
    x = 739.54

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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.