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Finding the Fourth Proportional to 677.01, 934.63 and 457.12

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Solution

The fourth proportional to 677.01, 934.63 and 457.12 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.01 : 934.63 = 457.12 : x
  2. Step 2: Convert to fraction form
    677.01/934.63 = 457.12/x
  3. Step 3: Cross multiply
    677.01x = 934.63 × 457.12
  4. Step 4: Simplify right side
    677.01x = 427,238.07
  5. Step 5: Solve for x
    x = 427,238.07/677.01
  6. Step 6: Final answer
    x = 631.07

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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.