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Finding the Fourth Proportional to 582.30, 876.60 and 522.75

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Solution

The fourth proportional to 582.30, 876.60 and 522.75 is: 786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 876.60 = 522.75 : x
  2. Step 2: Convert to fraction form
    582.30/876.60 = 522.75/x
  3. Step 3: Cross multiply
    582.30x = 876.60 × 522.75
  4. Step 4: Simplify right side
    582.30x = 458,242.65
  5. Step 5: Solve for x
    x = 458,242.65/582.30
  6. Step 6: Final answer
    x = 786.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.