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Finding the Fourth Proportional to 504.79, 753.41 and 438.62

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Solution

The fourth proportional to 504.79, 753.41 and 438.62 is: 654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.79 : 753.41 = 438.62 : x
  2. Step 2: Convert to fraction form
    504.79/753.41 = 438.62/x
  3. Step 3: Cross multiply
    504.79x = 753.41 × 438.62
  4. Step 4: Simplify right side
    504.79x = 330,458.02
  5. Step 5: Solve for x
    x = 330,458.02/504.79
  6. Step 6: Final answer
    x = 654.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.