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Finding the Fourth Proportional to 555.12, 833.16 and 312.16

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Solution

The fourth proportional to 555.12, 833.16 and 312.16 is: 468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.12 : 833.16 = 312.16 : x
  2. Step 2: Convert to fraction form
    555.12/833.16 = 312.16/x
  3. Step 3: Cross multiply
    555.12x = 833.16 × 312.16
  4. Step 4: Simplify right side
    555.12x = 260,079.23
  5. Step 5: Solve for x
    x = 260,079.23/555.12
  6. Step 6: Final answer
    x = 468.51

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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.