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Finding the Fourth Proportional to 953.63, 1,430.66 and 304.34

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Solution

The fourth proportional to 953.63, 1,430.66 and 304.34 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.63 : 1,430.66 = 304.34 : x
  2. Step 2: Convert to fraction form
    953.63/1,430.66 = 304.34/x
  3. Step 3: Cross multiply
    953.63x = 1,430.66 × 304.34
  4. Step 4: Simplify right side
    953.63x = 435,407.06
  5. Step 5: Solve for x
    x = 435,407.06/953.63
  6. Step 6: Final answer
    x = 456.58

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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.