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Finding the Fourth Proportional to 563.91, 846.06 and 410.01

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Solution

The fourth proportional to 563.91, 846.06 and 410.01 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 846.06 = 410.01 : x
  2. Step 2: Convert to fraction form
    563.91/846.06 = 410.01/x
  3. Step 3: Cross multiply
    563.91x = 846.06 × 410.01
  4. Step 4: Simplify right side
    563.91x = 346,893.06
  5. Step 5: Solve for x
    x = 346,893.06/563.91
  6. Step 6: Final answer
    x = 615.16

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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.