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Finding the Fourth Proportional to 700.08, 1,050.26 and 309.93

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Solution

The fourth proportional to 700.08, 1,050.26 and 309.93 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 1,050.26 = 309.93 : x
  2. Step 2: Convert to fraction form
    700.08/1,050.26 = 309.93/x
  3. Step 3: Cross multiply
    700.08x = 1,050.26 × 309.93
  4. Step 4: Simplify right side
    700.08x = 325,505.53
  5. Step 5: Solve for x
    x = 325,505.53/700.08
  6. Step 6: Final answer
    x = 464.95

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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.