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Finding the Fourth Proportional to 536.76, 740.60 and 315.67

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Solution

The fourth proportional to 536.76, 740.60 and 315.67 is: 435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 740.60 = 315.67 : x
  2. Step 2: Convert to fraction form
    536.76/740.60 = 315.67/x
  3. Step 3: Cross multiply
    536.76x = 740.60 × 315.67
  4. Step 4: Simplify right side
    536.76x = 233,785.20
  5. Step 5: Solve for x
    x = 233,785.20/536.76
  6. Step 6: Final answer
    x = 435.55

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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.