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Finding the Fourth Proportional to 572.34, 857.40 and 450

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Solution

The fourth proportional to 572.34, 857.40 and 450 is: 674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 857.40 = 450 : x
  2. Step 2: Convert to fraction form
    572.34/857.40 = 450/x
  3. Step 3: Cross multiply
    572.34x = 857.40 × 450
  4. Step 4: Simplify right side
    572.34x = 385,830
  5. Step 5: Solve for x
    x = 385,830/572.34
  6. Step 6: Final answer
    x = 674.13

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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.