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Finding the Fourth Proportional to 437.47, 603.06 and 367.00

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Solution

The fourth proportional to 437.47, 603.06 and 367.00 is: 505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.47 : 603.06 = 367.00 : x
  2. Step 2: Convert to fraction form
    437.47/603.06 = 367.00/x
  3. Step 3: Cross multiply
    437.47x = 603.06 × 367.00
  4. Step 4: Simplify right side
    437.47x = 221,320.14
  5. Step 5: Solve for x
    x = 221,320.14/437.47
  6. Step 6: Final answer
    x = 505.91

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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.