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Finding the Fourth Proportional to 561, 841.64 and 214.35

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Solution

The fourth proportional to 561, 841.64 and 214.35 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 841.64 = 214.35 : x
  2. Step 2: Convert to fraction form
    561/841.64 = 214.35/x
  3. Step 3: Cross multiply
    561x = 841.64 × 214.35
  4. Step 4: Simplify right side
    561x = 180,405.53
  5. Step 5: Solve for x
    x = 180,405.53/561
  6. Step 6: Final answer
    x = 321.58

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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.