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Finding the Fourth Proportional to 504.06, 694.02 and 457.93

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Solution

The fourth proportional to 504.06, 694.02 and 457.93 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 694.02 = 457.93 : x
  2. Step 2: Convert to fraction form
    504.06/694.02 = 457.93/x
  3. Step 3: Cross multiply
    504.06x = 694.02 × 457.93
  4. Step 4: Simplify right side
    504.06x = 317,806.82
  5. Step 5: Solve for x
    x = 317,806.82/504.06
  6. Step 6: Final answer
    x = 630.49

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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.