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Finding the Fourth Proportional to 439.84, 602.95 and 431.99

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Solution

The fourth proportional to 439.84, 602.95 and 431.99 is: 592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 602.95 = 431.99 : x
  2. Step 2: Convert to fraction form
    439.84/602.95 = 431.99/x
  3. Step 3: Cross multiply
    439.84x = 602.95 × 431.99
  4. Step 4: Simplify right side
    439.84x = 260,468.37
  5. Step 5: Solve for x
    x = 260,468.37/439.84
  6. Step 6: Final answer
    x = 592.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.