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Finding the Fourth Proportional to 536.60, 740.24 and 337.67

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Solution

The fourth proportional to 536.60, 740.24 and 337.67 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 740.24 = 337.67 : x
  2. Step 2: Convert to fraction form
    536.60/740.24 = 337.67/x
  3. Step 3: Cross multiply
    536.60x = 740.24 × 337.67
  4. Step 4: Simplify right side
    536.60x = 249,956.84
  5. Step 5: Solve for x
    x = 249,956.84/536.60
  6. Step 6: Final answer
    x = 465.82

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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.