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Finding the Fourth Proportional to 385.84, 532.70 and 302.75

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Solution

The fourth proportional to 385.84, 532.70 and 302.75 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 532.70 = 302.75 : x
  2. Step 2: Convert to fraction form
    385.84/532.70 = 302.75/x
  3. Step 3: Cross multiply
    385.84x = 532.70 × 302.75
  4. Step 4: Simplify right side
    385.84x = 161,274.93
  5. Step 5: Solve for x
    x = 161,274.93/385.84
  6. Step 6: Final answer
    x = 417.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.