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Finding the Fourth Proportional to 405.37, 607.51 and 334.09

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Solution

The fourth proportional to 405.37, 607.51 and 334.09 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.37 : 607.51 = 334.09 : x
  2. Step 2: Convert to fraction form
    405.37/607.51 = 334.09/x
  3. Step 3: Cross multiply
    405.37x = 607.51 × 334.09
  4. Step 4: Simplify right side
    405.37x = 202,963.02
  5. Step 5: Solve for x
    x = 202,963.02/405.37
  6. Step 6: Final answer
    x = 500.69

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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.