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Finding the Fourth Proportional to 346.77, 519.64 and 316.04

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Solution

The fourth proportional to 346.77, 519.64 and 316.04 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 519.64 = 316.04 : x
  2. Step 2: Convert to fraction form
    346.77/519.64 = 316.04/x
  3. Step 3: Cross multiply
    346.77x = 519.64 × 316.04
  4. Step 4: Simplify right side
    346.77x = 164,223.64
  5. Step 5: Solve for x
    x = 164,223.64/346.77
  6. Step 6: Final answer
    x = 473.58

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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.