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Finding the Fourth Proportional to 405.17, 607.53 and 173.92

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Solution

The fourth proportional to 405.17, 607.53 and 173.92 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 607.53 = 173.92 : x
  2. Step 2: Convert to fraction form
    405.17/607.53 = 173.92/x
  3. Step 3: Cross multiply
    405.17x = 607.53 × 173.92
  4. Step 4: Simplify right side
    405.17x = 105,660.10
  5. Step 5: Solve for x
    x = 105,660.10/405.17
  6. Step 6: Final answer
    x = 260.78

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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.