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Finding the Fourth Proportional to 714.04, 985.14 and 415.15

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Solution

The fourth proportional to 714.04, 985.14 and 415.15 is: 572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.04 : 985.14 = 415.15 : x
  2. Step 2: Convert to fraction form
    714.04/985.14 = 415.15/x
  3. Step 3: Cross multiply
    714.04x = 985.14 × 415.15
  4. Step 4: Simplify right side
    714.04x = 408,980.01
  5. Step 5: Solve for x
    x = 408,980.01/714.04
  6. Step 6: Final answer
    x = 572.77

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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.