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Finding the Fourth Proportional to 661.64, 912.68 and 428.77

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Solution

The fourth proportional to 661.64, 912.68 and 428.77 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.64 : 912.68 = 428.77 : x
  2. Step 2: Convert to fraction form
    661.64/912.68 = 428.77/x
  3. Step 3: Cross multiply
    661.64x = 912.68 × 428.77
  4. Step 4: Simplify right side
    661.64x = 391,329.80
  5. Step 5: Solve for x
    x = 391,329.80/661.64
  6. Step 6: Final answer
    x = 591.45

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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.