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Finding the Fourth Proportional to 469.42, 647.46 and 358.64

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Solution

The fourth proportional to 469.42, 647.46 and 358.64 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.42 : 647.46 = 358.64 : x
  2. Step 2: Convert to fraction form
    469.42/647.46 = 358.64/x
  3. Step 3: Cross multiply
    469.42x = 647.46 × 358.64
  4. Step 4: Simplify right side
    469.42x = 232,205.05
  5. Step 5: Solve for x
    x = 232,205.05/469.42
  6. Step 6: Final answer
    x = 494.66

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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.