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Finding the Fourth Proportional to 591.03, 815.93 and 465.08

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Solution

The fourth proportional to 591.03, 815.93 and 465.08 is: 642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.03 : 815.93 = 465.08 : x
  2. Step 2: Convert to fraction form
    591.03/815.93 = 465.08/x
  3. Step 3: Cross multiply
    591.03x = 815.93 × 465.08
  4. Step 4: Simplify right side
    591.03x = 379,469.81
  5. Step 5: Solve for x
    x = 379,469.81/591.03
  6. Step 6: Final answer
    x = 642.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.