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Finding the Fourth Proportional to 595.82, 822.20 and 419.04

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Solution

The fourth proportional to 595.82, 822.20 and 419.04 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.82 : 822.20 = 419.04 : x
  2. Step 2: Convert to fraction form
    595.82/822.20 = 419.04/x
  3. Step 3: Cross multiply
    595.82x = 822.20 × 419.04
  4. Step 4: Simplify right side
    595.82x = 344,534.69
  5. Step 5: Solve for x
    x = 344,534.69/595.82
  6. Step 6: Final answer
    x = 578.25

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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.