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Finding the Fourth Proportional to 368.10, 507.78 and 312.84

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Solution

The fourth proportional to 368.10, 507.78 and 312.84 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.10 : 507.78 = 312.84 : x
  2. Step 2: Convert to fraction form
    368.10/507.78 = 312.84/x
  3. Step 3: Cross multiply
    368.10x = 507.78 × 312.84
  4. Step 4: Simplify right side
    368.10x = 158,853.90
  5. Step 5: Solve for x
    x = 158,853.90/368.10
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.