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Finding the Fourth Proportional to 469.50, 703.64 and 332.63

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Solution

The fourth proportional to 469.50, 703.64 and 332.63 is: 498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 703.64 = 332.63 : x
  2. Step 2: Convert to fraction form
    469.50/703.64 = 332.63/x
  3. Step 3: Cross multiply
    469.50x = 703.64 × 332.63
  4. Step 4: Simplify right side
    469.50x = 234,051.83
  5. Step 5: Solve for x
    x = 234,051.83/469.50
  6. Step 6: Final answer
    x = 498.52

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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.