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Finding the Fourth Proportional to 437.30, 600.69 and 435.14

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Solution

The fourth proportional to 437.30, 600.69 and 435.14 is: 597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.30 : 600.69 = 435.14 : x
  2. Step 2: Convert to fraction form
    437.30/600.69 = 435.14/x
  3. Step 3: Cross multiply
    437.30x = 600.69 × 435.14
  4. Step 4: Simplify right side
    437.30x = 261,382.07
  5. Step 5: Solve for x
    x = 261,382.07/437.30
  6. Step 6: Final answer
    x = 597.72

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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.