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Finding the Fourth Proportional to 561.03, 841.72 and 214.40

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Solution

The fourth proportional to 561.03, 841.72 and 214.40 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.03 : 841.72 = 214.40 : x
  2. Step 2: Convert to fraction form
    561.03/841.72 = 214.40/x
  3. Step 3: Cross multiply
    561.03x = 841.72 × 214.40
  4. Step 4: Simplify right side
    561.03x = 180,461.40
  5. Step 5: Solve for x
    x = 180,461.40/561.03
  6. Step 6: Final answer
    x = 321.66

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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.