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Finding the Fourth Proportional to 536.53, 740.29 and 315.45

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Solution

The fourth proportional to 536.53, 740.29 and 315.45 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.53 : 740.29 = 315.45 : x
  2. Step 2: Convert to fraction form
    536.53/740.29 = 315.45/x
  3. Step 3: Cross multiply
    536.53x = 740.29 × 315.45
  4. Step 4: Simplify right side
    536.53x = 233,524.48
  5. Step 5: Solve for x
    x = 233,524.48/536.53
  6. Step 6: Final answer
    x = 435.25

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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.