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Finding the Fourth Proportional to 358.84, 535.37 and 340.60

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Solution

The fourth proportional to 358.84, 535.37 and 340.60 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.84 : 535.37 = 340.60 : x
  2. Step 2: Convert to fraction form
    358.84/535.37 = 340.60/x
  3. Step 3: Cross multiply
    358.84x = 535.37 × 340.60
  4. Step 4: Simplify right side
    358.84x = 182,347.02
  5. Step 5: Solve for x
    x = 182,347.02/358.84
  6. Step 6: Final answer
    x = 508.16

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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.