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Finding the Fourth Proportional to 366.42, 546.63 and 355.36

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Solution

The fourth proportional to 366.42, 546.63 and 355.36 is: 530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.42 : 546.63 = 355.36 : x
  2. Step 2: Convert to fraction form
    366.42/546.63 = 355.36/x
  3. Step 3: Cross multiply
    366.42x = 546.63 × 355.36
  4. Step 4: Simplify right side
    366.42x = 194,250.44
  5. Step 5: Solve for x
    x = 194,250.44/366.42
  6. Step 6: Final answer
    x = 530.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.