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Finding the Fourth Proportional to 630.80, 948.23 and 582.20

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Solution

The fourth proportional to 630.80, 948.23 and 582.20 is: 875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.80 : 948.23 = 582.20 : x
  2. Step 2: Convert to fraction form
    630.80/948.23 = 582.20/x
  3. Step 3: Cross multiply
    630.80x = 948.23 × 582.20
  4. Step 4: Simplify right side
    630.80x = 552,059.51
  5. Step 5: Solve for x
    x = 552,059.51/630.80
  6. Step 6: Final answer
    x = 875.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.