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Finding the Fourth Proportional to 596.14, 896.04 and 435.76

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Solution

The fourth proportional to 596.14, 896.04 and 435.76 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 896.04 = 435.76 : x
  2. Step 2: Convert to fraction form
    596.14/896.04 = 435.76/x
  3. Step 3: Cross multiply
    596.14x = 896.04 × 435.76
  4. Step 4: Simplify right side
    596.14x = 390,458.39
  5. Step 5: Solve for x
    x = 390,458.39/596.14
  6. Step 6: Final answer
    x = 654.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.