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Finding the Fourth Proportional to 953.45, 1,430.24 and 405.08

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Solution

The fourth proportional to 953.45, 1,430.24 and 405.08 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.45 : 1,430.24 = 405.08 : x
  2. Step 2: Convert to fraction form
    953.45/1,430.24 = 405.08/x
  3. Step 3: Cross multiply
    953.45x = 1,430.24 × 405.08
  4. Step 4: Simplify right side
    953.45x = 579,352.44
  5. Step 5: Solve for x
    x = 579,352.44/953.45
  6. Step 6: Final answer
    x = 607.64

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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.