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Finding the Fourth Proportional to 405.61, 607.82 and 319.11

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Solution

The fourth proportional to 405.61, 607.82 and 319.11 is: 478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.61 : 607.82 = 319.11 : x
  2. Step 2: Convert to fraction form
    405.61/607.82 = 319.11/x
  3. Step 3: Cross multiply
    405.61x = 607.82 × 319.11
  4. Step 4: Simplify right side
    405.61x = 193,963.10
  5. Step 5: Solve for x
    x = 193,963.10/405.61
  6. Step 6: Final answer
    x = 478.20

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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.