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Finding the Fourth Proportional to 434.22, 651.10 and 214.85

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Solution

The fourth proportional to 434.22, 651.10 and 214.85 is: 322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 651.10 = 214.85 : x
  2. Step 2: Convert to fraction form
    434.22/651.10 = 214.85/x
  3. Step 3: Cross multiply
    434.22x = 651.10 × 214.85
  4. Step 4: Simplify right side
    434.22x = 139,888.84
  5. Step 5: Solve for x
    x = 139,888.84/434.22
  6. Step 6: Final answer
    x = 322.16

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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.