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Finding the Fourth Proportional to 602.93, 902.93 and 417.31

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Solution

The fourth proportional to 602.93, 902.93 and 417.31 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.93 : 902.93 = 417.31 : x
  2. Step 2: Convert to fraction form
    602.93/902.93 = 417.31/x
  3. Step 3: Cross multiply
    602.93x = 902.93 × 417.31
  4. Step 4: Simplify right side
    602.93x = 376,803.89
  5. Step 5: Solve for x
    x = 376,803.89/602.93
  6. Step 6: Final answer
    x = 624.96

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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.