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Finding the Fourth Proportional to 480.47, 714.99 and 475.34

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Solution

The fourth proportional to 480.47, 714.99 and 475.34 is: 707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.47 : 714.99 = 475.34 : x
  2. Step 2: Convert to fraction form
    480.47/714.99 = 475.34/x
  3. Step 3: Cross multiply
    480.47x = 714.99 × 475.34
  4. Step 4: Simplify right side
    480.47x = 339,859.77
  5. Step 5: Solve for x
    x = 339,859.77/480.47
  6. Step 6: Final answer
    x = 707.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.