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Finding the Fourth Proportional to 595.26, 821.88 and 409.14

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Solution

The fourth proportional to 595.26, 821.88 and 409.14 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 821.88 = 409.14 : x
  2. Step 2: Convert to fraction form
    595.26/821.88 = 409.14/x
  3. Step 3: Cross multiply
    595.26x = 821.88 × 409.14
  4. Step 4: Simplify right side
    595.26x = 336,263.98
  5. Step 5: Solve for x
    x = 336,263.98/595.26
  6. Step 6: Final answer
    x = 564.90

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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.