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Finding the Fourth Proportional to 476.05, 714.53 and 313.84

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Solution

The fourth proportional to 476.05, 714.53 and 313.84 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.05 : 714.53 = 313.84 : x
  2. Step 2: Convert to fraction form
    476.05/714.53 = 313.84/x
  3. Step 3: Cross multiply
    476.05x = 714.53 × 313.84
  4. Step 4: Simplify right side
    476.05x = 224,248.10
  5. Step 5: Solve for x
    x = 224,248.10/476.05
  6. Step 6: Final answer
    x = 471.06

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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.