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Finding the Fourth Proportional to 582.88, 875.28 and 388.48

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Solution

The fourth proportional to 582.88, 875.28 and 388.48 is: 583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 875.28 = 388.48 : x
  2. Step 2: Convert to fraction form
    582.88/875.28 = 388.48/x
  3. Step 3: Cross multiply
    582.88x = 875.28 × 388.48
  4. Step 4: Simplify right side
    582.88x = 340,028.77
  5. Step 5: Solve for x
    x = 340,028.77/582.88
  6. Step 6: Final answer
    x = 583.36

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