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Finding the Fourth Proportional to 358.16, 534.32 and 348.24

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Solution

The fourth proportional to 358.16, 534.32 and 348.24 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 534.32 = 348.24 : x
  2. Step 2: Convert to fraction form
    358.16/534.32 = 348.24/x
  3. Step 3: Cross multiply
    358.16x = 534.32 × 348.24
  4. Step 4: Simplify right side
    358.16x = 186,069.86
  5. Step 5: Solve for x
    x = 186,069.86/358.16
  6. Step 6: Final answer
    x = 519.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.