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Finding the Fourth Proportional to 501.86, 756.61 and 466.63

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Solution

The fourth proportional to 501.86, 756.61 and 466.63 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 756.61 = 466.63 : x
  2. Step 2: Convert to fraction form
    501.86/756.61 = 466.63/x
  3. Step 3: Cross multiply
    501.86x = 756.61 × 466.63
  4. Step 4: Simplify right side
    501.86x = 353,053.87
  5. Step 5: Solve for x
    x = 353,053.87/501.86
  6. Step 6: Final answer
    x = 703.49

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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.