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Finding the Fourth Proportional to 307.61, 459.17 and 285.08

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Solution

The fourth proportional to 307.61, 459.17 and 285.08 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 459.17 = 285.08 : x
  2. Step 2: Convert to fraction form
    307.61/459.17 = 285.08/x
  3. Step 3: Cross multiply
    307.61x = 459.17 × 285.08
  4. Step 4: Simplify right side
    307.61x = 130,900.18
  5. Step 5: Solve for x
    x = 130,900.18/307.61
  6. Step 6: Final answer
    x = 425.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.