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Finding the Fourth Proportional to 955.16, 1,432.32 and 305.72

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Solution

The fourth proportional to 955.16, 1,432.32 and 305.72 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.16 : 1,432.32 = 305.72 : x
  2. Step 2: Convert to fraction form
    955.16/1,432.32 = 305.72/x
  3. Step 3: Cross multiply
    955.16x = 1,432.32 × 305.72
  4. Step 4: Simplify right side
    955.16x = 437,888.87
  5. Step 5: Solve for x
    x = 437,888.87/955.16
  6. Step 6: Final answer
    x = 458.45

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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.