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Finding the Fourth Proportional to 370.02, 506.19 and 368.46

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Solution

The fourth proportional to 370.02, 506.19 and 368.46 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.02 : 506.19 = 368.46 : x
  2. Step 2: Convert to fraction form
    370.02/506.19 = 368.46/x
  3. Step 3: Cross multiply
    370.02x = 506.19 × 368.46
  4. Step 4: Simplify right side
    370.02x = 186,510.77
  5. Step 5: Solve for x
    x = 186,510.77/370.02
  6. Step 6: Final answer
    x = 504.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.