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Finding the Fourth Proportional to 405.58, 607.86 and 232.34

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Solution

The fourth proportional to 405.58, 607.86 and 232.34 is: 348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.58 : 607.86 = 232.34 : x
  2. Step 2: Convert to fraction form
    405.58/607.86 = 232.34/x
  3. Step 3: Cross multiply
    405.58x = 607.86 × 232.34
  4. Step 4: Simplify right side
    405.58x = 141,230.19
  5. Step 5: Solve for x
    x = 141,230.19/405.58
  6. Step 6: Final answer
    x = 348.22

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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.