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Finding the Fourth Proportional to 513.16, 770 and 282

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Solution

The fourth proportional to 513.16, 770 and 282 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.16 : 770 = 282 : x
  2. Step 2: Convert to fraction form
    513.16/770 = 282/x
  3. Step 3: Cross multiply
    513.16x = 770 × 282
  4. Step 4: Simplify right side
    513.16x = 217,140
  5. Step 5: Solve for x
    x = 217,140/513.16
  6. Step 6: Final answer
    x = 423.14

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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.