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Finding the Fourth Proportional to 469.07, 703.95 and 176.86

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Solution

The fourth proportional to 469.07, 703.95 and 176.86 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.07 : 703.95 = 176.86 : x
  2. Step 2: Convert to fraction form
    469.07/703.95 = 176.86/x
  3. Step 3: Cross multiply
    469.07x = 703.95 × 176.86
  4. Step 4: Simplify right side
    469.07x = 124,499.50
  5. Step 5: Solve for x
    x = 124,499.50/469.07
  6. Step 6: Final answer
    x = 265.42

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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.