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Finding the Fourth Proportional to 519.64, 717.08 and 286.75

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Solution

The fourth proportional to 519.64, 717.08 and 286.75 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.64 : 717.08 = 286.75 : x
  2. Step 2: Convert to fraction form
    519.64/717.08 = 286.75/x
  3. Step 3: Cross multiply
    519.64x = 717.08 × 286.75
  4. Step 4: Simplify right side
    519.64x = 205,621.26
  5. Step 5: Solve for x
    x = 205,621.26/519.64
  6. Step 6: Final answer
    x = 395.70

Related Problems

Find fourth proportional to 259.82, 358.54 and 143.38
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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.