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Finding the Fourth Proportional to 504.07, 758.95 and 446.62

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Solution

The fourth proportional to 504.07, 758.95 and 446.62 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 758.95 = 446.62 : x
  2. Step 2: Convert to fraction form
    504.07/758.95 = 446.62/x
  3. Step 3: Cross multiply
    504.07x = 758.95 × 446.62
  4. Step 4: Simplify right side
    504.07x = 338,962.25
  5. Step 5: Solve for x
    x = 338,962.25/504.07
  6. Step 6: Final answer
    x = 672.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.