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Finding the Fourth Proportional to 410.64, 615.47 and 406.07

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Solution

The fourth proportional to 410.64, 615.47 and 406.07 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 615.47 = 406.07 : x
  2. Step 2: Convert to fraction form
    410.64/615.47 = 406.07/x
  3. Step 3: Cross multiply
    410.64x = 615.47 × 406.07
  4. Step 4: Simplify right side
    410.64x = 249,923.90
  5. Step 5: Solve for x
    x = 249,923.90/410.64
  6. Step 6: Final answer
    x = 608.62

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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.