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Finding the Fourth Proportional to 538.72, 805.65 and 436.66

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Solution

The fourth proportional to 538.72, 805.65 and 436.66 is: 653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 805.65 = 436.66 : x
  2. Step 2: Convert to fraction form
    538.72/805.65 = 436.66/x
  3. Step 3: Cross multiply
    538.72x = 805.65 × 436.66
  4. Step 4: Simplify right side
    538.72x = 351,795.13
  5. Step 5: Solve for x
    x = 351,795.13/538.72
  6. Step 6: Final answer
    x = 653.02

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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.