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Finding the Fourth Proportional to 953.46, 1,430.07 and 304.14

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Solution

The fourth proportional to 953.46, 1,430.07 and 304.14 is: 456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,430.07 = 304.14 : x
  2. Step 2: Convert to fraction form
    953.46/1,430.07 = 304.14/x
  3. Step 3: Cross multiply
    953.46x = 1,430.07 × 304.14
  4. Step 4: Simplify right side
    953.46x = 434,941.49
  5. Step 5: Solve for x
    x = 434,941.49/953.46
  6. Step 6: Final answer
    x = 456.17

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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.