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Finding the Fourth Proportional to 437.09, 602.91 and 354.20

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Solution

The fourth proportional to 437.09, 602.91 and 354.20 is: 488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.09 : 602.91 = 354.20 : x
  2. Step 2: Convert to fraction form
    437.09/602.91 = 354.20/x
  3. Step 3: Cross multiply
    437.09x = 602.91 × 354.20
  4. Step 4: Simplify right side
    437.09x = 213,547.71
  5. Step 5: Solve for x
    x = 213,547.71/437.09
  6. Step 6: Final answer
    x = 488.57

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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.