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Finding the Fourth Proportional to 476.64, 714.54 and 188.02

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Solution

The fourth proportional to 476.64, 714.54 and 188.02 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 714.54 = 188.02 : x
  2. Step 2: Convert to fraction form
    476.64/714.54 = 188.02/x
  3. Step 3: Cross multiply
    476.64x = 714.54 × 188.02
  4. Step 4: Simplify right side
    476.64x = 134,347.81
  5. Step 5: Solve for x
    x = 134,347.81/476.64
  6. Step 6: Final answer
    x = 281.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.