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Finding the Fourth Proportional to 511.60, 706.03 and 362.50

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Solution

The fourth proportional to 511.60, 706.03 and 362.50 is: 500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 706.03 = 362.50 : x
  2. Step 2: Convert to fraction form
    511.60/706.03 = 362.50/x
  3. Step 3: Cross multiply
    511.60x = 706.03 × 362.50
  4. Step 4: Simplify right side
    511.60x = 255,935.88
  5. Step 5: Solve for x
    x = 255,935.88/511.60
  6. Step 6: Final answer
    x = 500.27

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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.