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Finding the Fourth Proportional to 538.90, 809.57 and 466.00

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Solution

The fourth proportional to 538.90, 809.57 and 466.00 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 809.57 = 466.00 : x
  2. Step 2: Convert to fraction form
    538.90/809.57 = 466.00/x
  3. Step 3: Cross multiply
    538.90x = 809.57 × 466.00
  4. Step 4: Simplify right side
    538.90x = 377,253.24
  5. Step 5: Solve for x
    x = 377,253.24/538.90
  6. Step 6: Final answer
    x = 700.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.