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Finding the Fourth Proportional to 395.84, 546.53 and 313.35

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Solution

The fourth proportional to 395.84, 546.53 and 313.35 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.53 = 313.35 : x
  2. Step 2: Convert to fraction form
    395.84/546.53 = 313.35/x
  3. Step 3: Cross multiply
    395.84x = 546.53 × 313.35
  4. Step 4: Simplify right side
    395.84x = 171,253.61
  5. Step 5: Solve for x
    x = 171,253.61/395.84
  6. Step 6: Final answer
    x = 432.64

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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.