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Finding the Fourth Proportional to 476.15, 714.32 and 202.16

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Solution

The fourth proportional to 476.15, 714.32 and 202.16 is: 303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.15 : 714.32 = 202.16 : x
  2. Step 2: Convert to fraction form
    476.15/714.32 = 202.16/x
  3. Step 3: Cross multiply
    476.15x = 714.32 × 202.16
  4. Step 4: Simplify right side
    476.15x = 144,408.46
  5. Step 5: Solve for x
    x = 144,408.46/476.15
  6. Step 6: Final answer
    x = 303.29

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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.