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Finding the Fourth Proportional to 602.51, 832.07 and 492.35

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Solution

The fourth proportional to 602.51, 832.07 and 492.35 is: 679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 832.07 = 492.35 : x
  2. Step 2: Convert to fraction form
    602.51/832.07 = 492.35/x
  3. Step 3: Cross multiply
    602.51x = 832.07 × 492.35
  4. Step 4: Simplify right side
    602.51x = 409,666.74
  5. Step 5: Solve for x
    x = 409,666.74/602.51
  6. Step 6: Final answer
    x = 679.94

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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.