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Finding the Fourth Proportional to 582.24, 801.36 and 556.32

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Solution

The fourth proportional to 582.24, 801.36 and 556.32 is: 765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 801.36 = 556.32 : x
  2. Step 2: Convert to fraction form
    582.24/801.36 = 556.32/x
  3. Step 3: Cross multiply
    582.24x = 801.36 × 556.32
  4. Step 4: Simplify right side
    582.24x = 445,812.60
  5. Step 5: Solve for x
    x = 445,812.60/582.24
  6. Step 6: Final answer
    x = 765.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.