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Finding the Fourth Proportional to 572.50, 858.36 and 312.90

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Solution

The fourth proportional to 572.50, 858.36 and 312.90 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.50 : 858.36 = 312.90 : x
  2. Step 2: Convert to fraction form
    572.50/858.36 = 312.90/x
  3. Step 3: Cross multiply
    572.50x = 858.36 × 312.90
  4. Step 4: Simplify right side
    572.50x = 268,580.84
  5. Step 5: Solve for x
    x = 268,580.84/572.50
  6. Step 6: Final answer
    x = 469.14

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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.