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Finding the Fourth Proportional to 705.15, 1,056.64 and 357.96

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Solution

The fourth proportional to 705.15, 1,056.64 and 357.96 is: 536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.15 : 1,056.64 = 357.96 : x
  2. Step 2: Convert to fraction form
    705.15/1,056.64 = 357.96/x
  3. Step 3: Cross multiply
    705.15x = 1,056.64 × 357.96
  4. Step 4: Simplify right side
    705.15x = 378,228.68
  5. Step 5: Solve for x
    x = 378,228.68/705.15
  6. Step 6: Final answer
    x = 536.38

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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.