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Finding the Fourth Proportional to 435.48, 653.49 and 188.64

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Solution

The fourth proportional to 435.48, 653.49 and 188.64 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 653.49 = 188.64 : x
  2. Step 2: Convert to fraction form
    435.48/653.49 = 188.64/x
  3. Step 3: Cross multiply
    435.48x = 653.49 × 188.64
  4. Step 4: Simplify right side
    435.48x = 123,275.80
  5. Step 5: Solve for x
    x = 123,275.80/435.48
  6. Step 6: Final answer
    x = 283.08

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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.