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Finding the Fourth Proportional to 510.41, 765.35 and 364.08

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Solution

The fourth proportional to 510.41, 765.35 and 364.08 is: 545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 765.35 = 364.08 : x
  2. Step 2: Convert to fraction form
    510.41/765.35 = 364.08/x
  3. Step 3: Cross multiply
    510.41x = 765.35 × 364.08
  4. Step 4: Simplify right side
    510.41x = 278,646.81
  5. Step 5: Solve for x
    x = 278,646.81/510.41
  6. Step 6: Final answer
    x = 545.93

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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.