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Finding the Fourth Proportional to 603.80, 904.26 and 410.84

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Solution

The fourth proportional to 603.80, 904.26 and 410.84 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.80 : 904.26 = 410.84 : x
  2. Step 2: Convert to fraction form
    603.80/904.26 = 410.84/x
  3. Step 3: Cross multiply
    603.80x = 904.26 × 410.84
  4. Step 4: Simplify right side
    603.80x = 371,506.18
  5. Step 5: Solve for x
    x = 371,506.18/603.80
  6. Step 6: Final answer
    x = 615.28

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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.