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Finding the Fourth Proportional to 953.32, 1,430.12 and 405.65

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Solution

The fourth proportional to 953.32, 1,430.12 and 405.65 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.32 : 1,430.12 = 405.65 : x
  2. Step 2: Convert to fraction form
    953.32/1,430.12 = 405.65/x
  3. Step 3: Cross multiply
    953.32x = 1,430.12 × 405.65
  4. Step 4: Simplify right side
    953.32x = 580,122.04
  5. Step 5: Solve for x
    x = 580,122.04/953.32
  6. Step 6: Final answer
    x = 608.53

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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.