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Finding the Fourth Proportional to 597.35, 823.50 and 410.54

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Solution

The fourth proportional to 597.35, 823.50 and 410.54 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 823.50 = 410.54 : x
  2. Step 2: Convert to fraction form
    597.35/823.50 = 410.54/x
  3. Step 3: Cross multiply
    597.35x = 823.50 × 410.54
  4. Step 4: Simplify right side
    597.35x = 338,075.57
  5. Step 5: Solve for x
    x = 338,075.57/597.35
  6. Step 6: Final answer
    x = 565.96

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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.