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Finding the Fourth Proportional to 432.45, 597.05 and 266.89

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Solution

The fourth proportional to 432.45, 597.05 and 266.89 is: 368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 597.05 = 266.89 : x
  2. Step 2: Convert to fraction form
    432.45/597.05 = 266.89/x
  3. Step 3: Cross multiply
    432.45x = 597.05 × 266.89
  4. Step 4: Simplify right side
    432.45x = 159,346.67
  5. Step 5: Solve for x
    x = 159,346.67/432.45
  6. Step 6: Final answer
    x = 368.47

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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.