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Finding the Fourth Proportional to 538.75, 741.98 and 510.94

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Solution

The fourth proportional to 538.75, 741.98 and 510.94 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 741.98 = 510.94 : x
  2. Step 2: Convert to fraction form
    538.75/741.98 = 510.94/x
  3. Step 3: Cross multiply
    538.75x = 741.98 × 510.94
  4. Step 4: Simplify right side
    538.75x = 379,106.68
  5. Step 5: Solve for x
    x = 379,106.68/538.75
  6. Step 6: Final answer
    x = 703.68

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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.