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Finding the Fourth Proportional to 518.98, 777.66 and 313.06

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Solution

The fourth proportional to 518.98, 777.66 and 313.06 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 777.66 = 313.06 : x
  2. Step 2: Convert to fraction form
    518.98/777.66 = 313.06/x
  3. Step 3: Cross multiply
    518.98x = 777.66 × 313.06
  4. Step 4: Simplify right side
    518.98x = 243,454.24
  5. Step 5: Solve for x
    x = 243,454.24/518.98
  6. Step 6: Final answer
    x = 469.10

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Why These Related Problems?

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