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Finding the Fourth Proportional to 303.42, 455.34 and 285.60

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Solution

The fourth proportional to 303.42, 455.34 and 285.60 is: 428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 455.34 = 285.60 : x
  2. Step 2: Convert to fraction form
    303.42/455.34 = 285.60/x
  3. Step 3: Cross multiply
    303.42x = 455.34 × 285.60
  4. Step 4: Simplify right side
    303.42x = 130,045.10
  5. Step 5: Solve for x
    x = 130,045.10/303.42
  6. Step 6: Final answer
    x = 428.60

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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.