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Finding the Fourth Proportional to 435.84, 652.32 and 264

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Solution

The fourth proportional to 435.84, 652.32 and 264 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.84 : 652.32 = 264 : x
  2. Step 2: Convert to fraction form
    435.84/652.32 = 264/x
  3. Step 3: Cross multiply
    435.84x = 652.32 × 264
  4. Step 4: Simplify right side
    435.84x = 172,212.48
  5. Step 5: Solve for x
    x = 172,212.48/435.84
  6. Step 6: Final answer
    x = 395.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.