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Finding the Fourth Proportional to 700.46, 1,050.71 and 335.06

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Solution

The fourth proportional to 700.46, 1,050.71 and 335.06 is: 502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.46 : 1,050.71 = 335.06 : x
  2. Step 2: Convert to fraction form
    700.46/1,050.71 = 335.06/x
  3. Step 3: Cross multiply
    700.46x = 1,050.71 × 335.06
  4. Step 4: Simplify right side
    700.46x = 352,050.89
  5. Step 5: Solve for x
    x = 352,050.89/700.46
  6. Step 6: Final answer
    x = 502.60

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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.