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Finding the Fourth Proportional to 587.78, 811.24 and 339.08

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Solution

The fourth proportional to 587.78, 811.24 and 339.08 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.78 : 811.24 = 339.08 : x
  2. Step 2: Convert to fraction form
    587.78/811.24 = 339.08/x
  3. Step 3: Cross multiply
    587.78x = 811.24 × 339.08
  4. Step 4: Simplify right side
    587.78x = 275,075.26
  5. Step 5: Solve for x
    x = 275,075.26/587.78
  6. Step 6: Final answer
    x = 467.99

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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.