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Finding the Fourth Proportional to 469.57, 703.70 and 176.77

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Solution

The fourth proportional to 469.57, 703.70 and 176.77 is: 264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 703.70 = 176.77 : x
  2. Step 2: Convert to fraction form
    469.57/703.70 = 176.77/x
  3. Step 3: Cross multiply
    469.57x = 703.70 × 176.77
  4. Step 4: Simplify right side
    469.57x = 124,390.41
  5. Step 5: Solve for x
    x = 124,390.41/469.57
  6. Step 6: Final answer
    x = 264.90

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