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Finding the Fourth Proportional to 583.49, 873.50 and 400.53

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Solution

The fourth proportional to 583.49, 873.50 and 400.53 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 873.50 = 400.53 : x
  2. Step 2: Convert to fraction form
    583.49/873.50 = 400.53/x
  3. Step 3: Cross multiply
    583.49x = 873.50 × 400.53
  4. Step 4: Simplify right side
    583.49x = 349,860.95
  5. Step 5: Solve for x
    x = 349,860.95/583.49
  6. Step 6: Final answer
    x = 599.61

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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.