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Finding the Fourth Proportional to 410.19, 615.91 and 353.04

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Solution

The fourth proportional to 410.19, 615.91 and 353.04 is: 530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 615.91 = 353.04 : x
  2. Step 2: Convert to fraction form
    410.19/615.91 = 353.04/x
  3. Step 3: Cross multiply
    410.19x = 615.91 × 353.04
  4. Step 4: Simplify right side
    410.19x = 217,440.87
  5. Step 5: Solve for x
    x = 217,440.87/410.19
  6. Step 6: Final answer
    x = 530.10

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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.