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Finding the Fourth Proportional to 595.40, 822.04 and 408.83

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Solution

The fourth proportional to 595.40, 822.04 and 408.83 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 822.04 = 408.83 : x
  2. Step 2: Convert to fraction form
    595.40/822.04 = 408.83/x
  3. Step 3: Cross multiply
    595.40x = 822.04 × 408.83
  4. Step 4: Simplify right side
    595.40x = 336,075.65
  5. Step 5: Solve for x
    x = 336,075.65/595.40
  6. Step 6: Final answer
    x = 564.45

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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.