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Finding the Fourth Proportional to 850.29, 1,275.90 and 357.04

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Solution

The fourth proportional to 850.29, 1,275.90 and 357.04 is: 535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.29 : 1,275.90 = 357.04 : x
  2. Step 2: Convert to fraction form
    850.29/1,275.90 = 357.04/x
  3. Step 3: Cross multiply
    850.29x = 1,275.90 × 357.04
  4. Step 4: Simplify right side
    850.29x = 455,547.34
  5. Step 5: Solve for x
    x = 455,547.34/850.29
  6. Step 6: Final answer
    x = 535.76

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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.