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Finding the Fourth Proportional to 583.16, 873.34 and 452.95

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Solution

The fourth proportional to 583.16, 873.34 and 452.95 is: 678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 873.34 = 452.95 : x
  2. Step 2: Convert to fraction form
    583.16/873.34 = 452.95/x
  3. Step 3: Cross multiply
    583.16x = 873.34 × 452.95
  4. Step 4: Simplify right side
    583.16x = 395,576.04
  5. Step 5: Solve for x
    x = 395,576.04/583.16
  6. Step 6: Final answer
    x = 678.34

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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.