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Finding the Fourth Proportional to 602.84, 832.58 and 472.84

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Solution

The fourth proportional to 602.84, 832.58 and 472.84 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 832.58 = 472.84 : x
  2. Step 2: Convert to fraction form
    602.84/832.58 = 472.84/x
  3. Step 3: Cross multiply
    602.84x = 832.58 × 472.84
  4. Step 4: Simplify right side
    602.84x = 393,674.45
  5. Step 5: Solve for x
    x = 393,674.45/602.84
  6. Step 6: Final answer
    x = 653.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.