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Finding the Fourth Proportional to 476.40, 657.12 and 388.92

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Solution

The fourth proportional to 476.40, 657.12 and 388.92 is: 536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 657.12 = 388.92 : x
  2. Step 2: Convert to fraction form
    476.40/657.12 = 388.92/x
  3. Step 3: Cross multiply
    476.40x = 657.12 × 388.92
  4. Step 4: Simplify right side
    476.40x = 255,567.11
  5. Step 5: Solve for x
    x = 255,567.11/476.40
  6. Step 6: Final answer
    x = 536.45

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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.