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Finding the Fourth Proportional to 510.11, 703.95 and 277.23

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Solution

The fourth proportional to 510.11, 703.95 and 277.23 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.11 : 703.95 = 277.23 : x
  2. Step 2: Convert to fraction form
    510.11/703.95 = 277.23/x
  3. Step 3: Cross multiply
    510.11x = 703.95 × 277.23
  4. Step 4: Simplify right side
    510.11x = 195,156.06
  5. Step 5: Solve for x
    x = 195,156.06/510.11
  6. Step 6: Final answer
    x = 382.58

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