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Finding the Fourth Proportional to 523.90, 723.06 and 302.86

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Solution

The fourth proportional to 523.90, 723.06 and 302.86 is: 417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 723.06 = 302.86 : x
  2. Step 2: Convert to fraction form
    523.90/723.06 = 302.86/x
  3. Step 3: Cross multiply
    523.90x = 723.06 × 302.86
  4. Step 4: Simplify right side
    523.90x = 218,985.95
  5. Step 5: Solve for x
    x = 218,985.95/523.90
  6. Step 6: Final answer
    x = 417.99

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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.