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Finding the Fourth Proportional to 559.37, 772.51 and 383.14

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Solution

The fourth proportional to 559.37, 772.51 and 383.14 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.37 : 772.51 = 383.14 : x
  2. Step 2: Convert to fraction form
    559.37/772.51 = 383.14/x
  3. Step 3: Cross multiply
    559.37x = 772.51 × 383.14
  4. Step 4: Simplify right side
    559.37x = 295,979.48
  5. Step 5: Solve for x
    x = 295,979.48/559.37
  6. Step 6: Final answer
    x = 529.13

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Why These Related Problems?

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