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Finding the Fourth Proportional to 369.84, 507.84 and 313.92

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Solution

The fourth proportional to 369.84, 507.84 and 313.92 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 507.84 = 313.92 : x
  2. Step 2: Convert to fraction form
    369.84/507.84 = 313.92/x
  3. Step 3: Cross multiply
    369.84x = 507.84 × 313.92
  4. Step 4: Simplify right side
    369.84x = 159,421.13
  5. Step 5: Solve for x
    x = 159,421.13/369.84
  6. Step 6: Final answer
    x = 431.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.