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Finding the Fourth Proportional to 595.54, 821.71 and 409.65

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Solution

The fourth proportional to 595.54, 821.71 and 409.65 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.54 : 821.71 = 409.65 : x
  2. Step 2: Convert to fraction form
    595.54/821.71 = 409.65/x
  3. Step 3: Cross multiply
    595.54x = 821.71 × 409.65
  4. Step 4: Simplify right side
    595.54x = 336,613.50
  5. Step 5: Solve for x
    x = 336,613.50/595.54
  6. Step 6: Final answer
    x = 565.22

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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.