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Finding the Fourth Proportional to 953.22, 1,430.06 and 295.08

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Solution

The fourth proportional to 953.22, 1,430.06 and 295.08 is: 442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.22 : 1,430.06 = 295.08 : x
  2. Step 2: Convert to fraction form
    953.22/1,430.06 = 295.08/x
  3. Step 3: Cross multiply
    953.22x = 1,430.06 × 295.08
  4. Step 4: Simplify right side
    953.22x = 421,982.10
  5. Step 5: Solve for x
    x = 421,982.10/953.22
  6. Step 6: Final answer
    x = 442.69

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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.