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Finding the Fourth Proportional to 587.00, 810.09 and 338.40

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Solution

The fourth proportional to 587.00, 810.09 and 338.40 is: 467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.00 : 810.09 = 338.40 : x
  2. Step 2: Convert to fraction form
    587.00/810.09 = 338.40/x
  3. Step 3: Cross multiply
    587.00x = 810.09 × 338.40
  4. Step 4: Simplify right side
    587.00x = 274,134.46
  5. Step 5: Solve for x
    x = 274,134.46/587.00
  6. Step 6: Final answer
    x = 467.01

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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.