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Finding the Fourth Proportional to 504.62, 756.93 and 465.74

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Solution

The fourth proportional to 504.62, 756.93 and 465.74 is: 698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 756.93 = 465.74 : x
  2. Step 2: Convert to fraction form
    504.62/756.93 = 465.74/x
  3. Step 3: Cross multiply
    504.62x = 756.93 × 465.74
  4. Step 4: Simplify right side
    504.62x = 352,532.58
  5. Step 5: Solve for x
    x = 352,532.58/504.62
  6. Step 6: Final answer
    x = 698.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.