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Finding the Fourth Proportional to 524.10, 780.66 and 500.41

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Solution

The fourth proportional to 524.10, 780.66 and 500.41 is: 745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 780.66 = 500.41 : x
  2. Step 2: Convert to fraction form
    524.10/780.66 = 500.41/x
  3. Step 3: Cross multiply
    524.10x = 780.66 × 500.41
  4. Step 4: Simplify right side
    524.10x = 390,650.07
  5. Step 5: Solve for x
    x = 390,650.07/524.10
  6. Step 6: Final answer
    x = 745.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.