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Finding the Fourth Proportional to 537, 741.06 and 304.13

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Solution

The fourth proportional to 537, 741.06 and 304.13 is: 419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 741.06 = 304.13 : x
  2. Step 2: Convert to fraction form
    537/741.06 = 304.13/x
  3. Step 3: Cross multiply
    537x = 741.06 × 304.13
  4. Step 4: Simplify right side
    537x = 225,374.87
  5. Step 5: Solve for x
    x = 225,374.87/537
  6. Step 6: Final answer
    x = 419.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.