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Finding the Fourth Proportional to 594.08, 891.60 and 306.08

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Solution

The fourth proportional to 594.08, 891.60 and 306.08 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.08 : 891.60 = 306.08 : x
  2. Step 2: Convert to fraction form
    594.08/891.60 = 306.08/x
  3. Step 3: Cross multiply
    594.08x = 891.60 × 306.08
  4. Step 4: Simplify right side
    594.08x = 272,900.93
  5. Step 5: Solve for x
    x = 272,900.93/594.08
  6. Step 6: Final answer
    x = 459.37

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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.