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Finding the Fourth Proportional to 484.95, 727.47 and 290.16

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Solution

The fourth proportional to 484.95, 727.47 and 290.16 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.95 : 727.47 = 290.16 : x
  2. Step 2: Convert to fraction form
    484.95/727.47 = 290.16/x
  3. Step 3: Cross multiply
    484.95x = 727.47 × 290.16
  4. Step 4: Simplify right side
    484.95x = 211,082.70
  5. Step 5: Solve for x
    x = 211,082.70/484.95
  6. Step 6: Final answer
    x = 435.27

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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.