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Finding the Fourth Proportional to 555.95, 833.84 and 305.86

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Solution

The fourth proportional to 555.95, 833.84 and 305.86 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.95 : 833.84 = 305.86 : x
  2. Step 2: Convert to fraction form
    555.95/833.84 = 305.86/x
  3. Step 3: Cross multiply
    555.95x = 833.84 × 305.86
  4. Step 4: Simplify right side
    555.95x = 255,038.30
  5. Step 5: Solve for x
    x = 255,038.30/555.95
  6. Step 6: Final answer
    x = 458.75

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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.