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Finding the Fourth Proportional to 595.59, 821.48 and 409.11

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Solution

The fourth proportional to 595.59, 821.48 and 409.11 is: 564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 821.48 = 409.11 : x
  2. Step 2: Convert to fraction form
    595.59/821.48 = 409.11/x
  3. Step 3: Cross multiply
    595.59x = 821.48 × 409.11
  4. Step 4: Simplify right side
    595.59x = 336,073.64
  5. Step 5: Solve for x
    x = 336,073.64/595.59
  6. Step 6: Final answer
    x = 564.27

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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.