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Finding the Fourth Proportional to 466.36, 697.88 and 322.18

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Solution

The fourth proportional to 466.36, 697.88 and 322.18 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 697.88 = 322.18 : x
  2. Step 2: Convert to fraction form
    466.36/697.88 = 322.18/x
  3. Step 3: Cross multiply
    466.36x = 697.88 × 322.18
  4. Step 4: Simplify right side
    466.36x = 224,842.98
  5. Step 5: Solve for x
    x = 224,842.98/466.36
  6. Step 6: Final answer
    x = 482.12

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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.