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Finding the Fourth Proportional to 536.16, 739.84 and 315.08

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Solution

The fourth proportional to 536.16, 739.84 and 315.08 is: 434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 739.84 = 315.08 : x
  2. Step 2: Convert to fraction form
    536.16/739.84 = 315.08/x
  3. Step 3: Cross multiply
    536.16x = 739.84 × 315.08
  4. Step 4: Simplify right side
    536.16x = 233,108.79
  5. Step 5: Solve for x
    x = 233,108.79/536.16
  6. Step 6: Final answer
    x = 434.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.