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Finding the Fourth Proportional to 595.25, 892.88 and 210.50

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Solution

The fourth proportional to 595.25, 892.88 and 210.50 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 892.88 = 210.50 : x
  2. Step 2: Convert to fraction form
    595.25/892.88 = 210.50/x
  3. Step 3: Cross multiply
    595.25x = 892.88 × 210.50
  4. Step 4: Simplify right side
    595.25x = 187,950.19
  5. Step 5: Solve for x
    x = 187,950.19/595.25
  6. Step 6: Final answer
    x = 315.75

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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.