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Finding the Fourth Proportional to 582.62, 874.06 and 400.10

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Solution

The fourth proportional to 582.62, 874.06 and 400.10 is: 600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.62 : 874.06 = 400.10 : x
  2. Step 2: Convert to fraction form
    582.62/874.06 = 400.10/x
  3. Step 3: Cross multiply
    582.62x = 874.06 × 400.10
  4. Step 4: Simplify right side
    582.62x = 349,706.04
  5. Step 5: Solve for x
    x = 349,706.04/582.62
  6. Step 6: Final answer
    x = 600.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.