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Finding the Fourth Proportional to 431.90, 595.92 and 266.06

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Solution

The fourth proportional to 431.90, 595.92 and 266.06 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 595.92 = 266.06 : x
  2. Step 2: Convert to fraction form
    431.90/595.92 = 266.06/x
  3. Step 3: Cross multiply
    431.90x = 595.92 × 266.06
  4. Step 4: Simplify right side
    431.90x = 158,547.50
  5. Step 5: Solve for x
    x = 158,547.50/431.90
  6. Step 6: Final answer
    x = 367.10

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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.