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Finding the Fourth Proportional to 714.29, 985.70 and 415.53

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Solution

The fourth proportional to 714.29, 985.70 and 415.53 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 985.70 = 415.53 : x
  2. Step 2: Convert to fraction form
    714.29/985.70 = 415.53/x
  3. Step 3: Cross multiply
    714.29x = 985.70 × 415.53
  4. Step 4: Simplify right side
    714.29x = 409,588.96
  5. Step 5: Solve for x
    x = 409,588.96/714.29
  6. Step 6: Final answer
    x = 573.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.