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Finding the Fourth Proportional to 537.42, 741.57 and 304.50

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Solution

The fourth proportional to 537.42, 741.57 and 304.50 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 741.57 = 304.50 : x
  2. Step 2: Convert to fraction form
    537.42/741.57 = 304.50/x
  3. Step 3: Cross multiply
    537.42x = 741.57 × 304.50
  4. Step 4: Simplify right side
    537.42x = 225,808.07
  5. Step 5: Solve for x
    x = 225,808.07/537.42
  6. Step 6: Final answer
    x = 420.17

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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.