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Finding the Fourth Proportional to 405.91, 608.85 and 117.34

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Solution

The fourth proportional to 405.91, 608.85 and 117.34 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.91 : 608.85 = 117.34 : x
  2. Step 2: Convert to fraction form
    405.91/608.85 = 117.34/x
  3. Step 3: Cross multiply
    405.91x = 608.85 × 117.34
  4. Step 4: Simplify right side
    405.91x = 71,442.46
  5. Step 5: Solve for x
    x = 71,442.46/405.91
  6. Step 6: Final answer
    x = 176.01

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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.