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Finding the Fourth Proportional to 705.54, 1,057.57 and 358.10

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Solution

The fourth proportional to 705.54, 1,057.57 and 358.10 is: 536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.54 : 1,057.57 = 358.10 : x
  2. Step 2: Convert to fraction form
    705.54/1,057.57 = 358.10/x
  3. Step 3: Cross multiply
    705.54x = 1,057.57 × 358.10
  4. Step 4: Simplify right side
    705.54x = 378,709.63
  5. Step 5: Solve for x
    x = 378,709.63/705.54
  6. Step 6: Final answer
    x = 536.77

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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.