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Finding the Fourth Proportional to 517.84, 776.64 and 152.53

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Solution

The fourth proportional to 517.84, 776.64 and 152.53 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.84 : 776.64 = 152.53 : x
  2. Step 2: Convert to fraction form
    517.84/776.64 = 152.53/x
  3. Step 3: Cross multiply
    517.84x = 776.64 × 152.53
  4. Step 4: Simplify right side
    517.84x = 118,460.90
  5. Step 5: Solve for x
    x = 118,460.90/517.84
  6. Step 6: Final answer
    x = 228.76

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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.