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Finding the Fourth Proportional to 561.33, 841.87 and 214.70

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Solution

The fourth proportional to 561.33, 841.87 and 214.70 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 841.87 = 214.70 : x
  2. Step 2: Convert to fraction form
    561.33/841.87 = 214.70/x
  3. Step 3: Cross multiply
    561.33x = 841.87 × 214.70
  4. Step 4: Simplify right side
    561.33x = 180,749.49
  5. Step 5: Solve for x
    x = 180,749.49/561.33
  6. Step 6: Final answer
    x = 322.00

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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.