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Finding the Fourth Proportional to 565.08, 845.46 and 403.08

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Solution

The fourth proportional to 565.08, 845.46 and 403.08 is: 603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 845.46 = 403.08 : x
  2. Step 2: Convert to fraction form
    565.08/845.46 = 403.08/x
  3. Step 3: Cross multiply
    565.08x = 845.46 × 403.08
  4. Step 4: Simplify right side
    565.08x = 340,788.02
  5. Step 5: Solve for x
    x = 340,788.02/565.08
  6. Step 6: Final answer
    x = 603.08

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