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Finding the Fourth Proportional to 715.64, 1,074.47 and 350.53

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Solution

The fourth proportional to 715.64, 1,074.47 and 350.53 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,074.47 = 350.53 : x
  2. Step 2: Convert to fraction form
    715.64/1,074.47 = 350.53/x
  3. Step 3: Cross multiply
    715.64x = 1,074.47 × 350.53
  4. Step 4: Simplify right side
    715.64x = 376,629.53
  5. Step 5: Solve for x
    x = 376,629.53/715.64
  6. Step 6: Final answer
    x = 526.29

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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.