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Finding the Fourth Proportional to 302.02, 450.98 and 284.91

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Solution

The fourth proportional to 302.02, 450.98 and 284.91 is: 425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.02 : 450.98 = 284.91 : x
  2. Step 2: Convert to fraction form
    302.02/450.98 = 284.91/x
  3. Step 3: Cross multiply
    302.02x = 450.98 × 284.91
  4. Step 4: Simplify right side
    302.02x = 128,489.63
  5. Step 5: Solve for x
    x = 128,489.63/302.02
  6. Step 6: Final answer
    x = 425.43

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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.