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Finding the Fourth Proportional to 559.16, 771.54 and 310.48

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Solution

The fourth proportional to 559.16, 771.54 and 310.48 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 771.54 = 310.48 : x
  2. Step 2: Convert to fraction form
    559.16/771.54 = 310.48/x
  3. Step 3: Cross multiply
    559.16x = 771.54 × 310.48
  4. Step 4: Simplify right side
    559.16x = 239,547.74
  5. Step 5: Solve for x
    x = 239,547.74/559.16
  6. Step 6: Final answer
    x = 428.41

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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.