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Finding the Fourth Proportional to 518.40, 776.88 and 313.02

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Solution

The fourth proportional to 518.40, 776.88 and 313.02 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 776.88 = 313.02 : x
  2. Step 2: Convert to fraction form
    518.40/776.88 = 313.02/x
  3. Step 3: Cross multiply
    518.40x = 776.88 × 313.02
  4. Step 4: Simplify right side
    518.40x = 243,178.98
  5. Step 5: Solve for x
    x = 243,178.98/518.40
  6. Step 6: Final answer
    x = 469.10

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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.