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Finding the Fourth Proportional to 397.50, 595.71 and 214.98

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Solution

The fourth proportional to 397.50, 595.71 and 214.98 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 595.71 = 214.98 : x
  2. Step 2: Convert to fraction form
    397.50/595.71 = 214.98/x
  3. Step 3: Cross multiply
    397.50x = 595.71 × 214.98
  4. Step 4: Simplify right side
    397.50x = 128,065.74
  5. Step 5: Solve for x
    x = 128,065.74/397.50
  6. Step 6: Final answer
    x = 322.18

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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.