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Finding the Fourth Proportional to 603.18, 904.91 and 202.50

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Solution

The fourth proportional to 603.18, 904.91 and 202.50 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.18 : 904.91 = 202.50 : x
  2. Step 2: Convert to fraction form
    603.18/904.91 = 202.50/x
  3. Step 3: Cross multiply
    603.18x = 904.91 × 202.50
  4. Step 4: Simplify right side
    603.18x = 183,243.26
  5. Step 5: Solve for x
    x = 183,243.26/603.18
  6. Step 6: Final answer
    x = 303.80

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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.