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Finding the Fourth Proportional to 602.49, 904.95 and 465.84

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Solution

The fourth proportional to 602.49, 904.95 and 465.84 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.49 : 904.95 = 465.84 : x
  2. Step 2: Convert to fraction form
    602.49/904.95 = 465.84/x
  3. Step 3: Cross multiply
    602.49x = 904.95 × 465.84
  4. Step 4: Simplify right side
    602.49x = 421,561.91
  5. Step 5: Solve for x
    x = 421,561.91/602.49
  6. Step 6: Final answer
    x = 699.70

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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.