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Finding the Fourth Proportional to 556.80, 836.14 and 464.15

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Solution

The fourth proportional to 556.80, 836.14 and 464.15 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 836.14 = 464.15 : x
  2. Step 2: Convert to fraction form
    556.80/836.14 = 464.15/x
  3. Step 3: Cross multiply
    556.80x = 836.14 × 464.15
  4. Step 4: Simplify right side
    556.80x = 388,097.63
  5. Step 5: Solve for x
    x = 388,097.63/556.80
  6. Step 6: Final answer
    x = 697.02

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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.