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Finding the Fourth Proportional to 572.06, 858.36 and 312.05

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Solution

The fourth proportional to 572.06, 858.36 and 312.05 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 858.36 = 312.05 : x
  2. Step 2: Convert to fraction form
    572.06/858.36 = 312.05/x
  3. Step 3: Cross multiply
    572.06x = 858.36 × 312.05
  4. Step 4: Simplify right side
    572.06x = 267,846.95
  5. Step 5: Solve for x
    x = 267,846.95/572.06
  6. Step 6: Final answer
    x = 468.22

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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.