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Finding the Fourth Proportional to 953.46, 1,430.80 and 405.64

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Solution

The fourth proportional to 953.46, 1,430.80 and 405.64 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,430.80 = 405.64 : x
  2. Step 2: Convert to fraction form
    953.46/1,430.80 = 405.64/x
  3. Step 3: Cross multiply
    953.46x = 1,430.80 × 405.64
  4. Step 4: Simplify right side
    953.46x = 580,387.68
  5. Step 5: Solve for x
    x = 580,387.68/953.46
  6. Step 6: Final answer
    x = 608.72

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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.