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Finding the Fourth Proportional to 504, 696.72 and 458.46

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Solution

The fourth proportional to 504, 696.72 and 458.46 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 696.72 = 458.46 : x
  2. Step 2: Convert to fraction form
    504/696.72 = 458.46/x
  3. Step 3: Cross multiply
    504x = 696.72 × 458.46
  4. Step 4: Simplify right side
    504x = 319,418.25
  5. Step 5: Solve for x
    x = 319,418.25/504
  6. Step 6: Final answer
    x = 633.77

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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.