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Finding the Fourth Proportional to 407.37, 561.90 and 358.35

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Solution

The fourth proportional to 407.37, 561.90 and 358.35 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 561.90 = 358.35 : x
  2. Step 2: Convert to fraction form
    407.37/561.90 = 358.35/x
  3. Step 3: Cross multiply
    407.37x = 561.90 × 358.35
  4. Step 4: Simplify right side
    407.37x = 201,356.87
  5. Step 5: Solve for x
    x = 201,356.87/407.37
  6. Step 6: Final answer
    x = 494.28

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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.