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Finding the Fourth Proportional to 469.80, 703.80 and 437.40

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Solution

The fourth proportional to 469.80, 703.80 and 437.40 is: 655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 703.80 = 437.40 : x
  2. Step 2: Convert to fraction form
    469.80/703.80 = 437.40/x
  3. Step 3: Cross multiply
    469.80x = 703.80 × 437.40
  4. Step 4: Simplify right side
    469.80x = 307,842.12
  5. Step 5: Solve for x
    x = 307,842.12/469.80
  6. Step 6: Final answer
    x = 655.26

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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.