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Finding the Fourth Proportional to 431.49, 594.93 and 307.05

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Solution

The fourth proportional to 431.49, 594.93 and 307.05 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 594.93 = 307.05 : x
  2. Step 2: Convert to fraction form
    431.49/594.93 = 307.05/x
  3. Step 3: Cross multiply
    431.49x = 594.93 × 307.05
  4. Step 4: Simplify right side
    431.49x = 182,673.26
  5. Step 5: Solve for x
    x = 182,673.26/431.49
  6. Step 6: Final answer
    x = 423.35

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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.