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Finding the Fourth Proportional to 510.79, 703.87 and 433.03

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Solution

The fourth proportional to 510.79, 703.87 and 433.03 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.79 : 703.87 = 433.03 : x
  2. Step 2: Convert to fraction form
    510.79/703.87 = 433.03/x
  3. Step 3: Cross multiply
    510.79x = 703.87 × 433.03
  4. Step 4: Simplify right side
    510.79x = 304,796.83
  5. Step 5: Solve for x
    x = 304,796.83/510.79
  6. Step 6: Final answer
    x = 596.72

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1.5x scale

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.