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Finding the Fourth Proportional to 536.83, 740.59 and 315.69

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Solution

The fourth proportional to 536.83, 740.59 and 315.69 is: 435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.83 : 740.59 = 315.69 : x
  2. Step 2: Convert to fraction form
    536.83/740.59 = 315.69/x
  3. Step 3: Cross multiply
    536.83x = 740.59 × 315.69
  4. Step 4: Simplify right side
    536.83x = 233,793.15
  5. Step 5: Solve for x
    x = 233,793.15/536.83
  6. Step 6: Final answer
    x = 435.51

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