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Finding the Fourth Proportional to 510.41, 766.01 and 373.82

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Solution

The fourth proportional to 510.41, 766.01 and 373.82 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 766.01 = 373.82 : x
  2. Step 2: Convert to fraction form
    510.41/766.01 = 373.82/x
  3. Step 3: Cross multiply
    510.41x = 766.01 × 373.82
  4. Step 4: Simplify right side
    510.41x = 286,344.86
  5. Step 5: Solve for x
    x = 286,344.86/510.41
  6. Step 6: Final answer
    x = 561.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.