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Finding the Fourth Proportional to 536.42, 740.27 and 315.50

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Solution

The fourth proportional to 536.42, 740.27 and 315.50 is: 435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 740.27 = 315.50 : x
  2. Step 2: Convert to fraction form
    536.42/740.27 = 315.50/x
  3. Step 3: Cross multiply
    536.42x = 740.27 × 315.50
  4. Step 4: Simplify right side
    536.42x = 233,552.27
  5. Step 5: Solve for x
    x = 233,552.27/536.42
  6. Step 6: Final answer
    x = 435.39

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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.