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Finding the Fourth Proportional to 505.01, 758.14 and 285.83

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Solution

The fourth proportional to 505.01, 758.14 and 285.83 is: 429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 758.14 = 285.83 : x
  2. Step 2: Convert to fraction form
    505.01/758.14 = 285.83/x
  3. Step 3: Cross multiply
    505.01x = 758.14 × 285.83
  4. Step 4: Simplify right side
    505.01x = 216,697.49
  5. Step 5: Solve for x
    x = 216,697.49/505.01
  6. Step 6: Final answer
    x = 429.09

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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.