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Finding the Fourth Proportional to 510.60, 704.52 and 432.24

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Solution

The fourth proportional to 510.60, 704.52 and 432.24 is: 596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 704.52 = 432.24 : x
  2. Step 2: Convert to fraction form
    510.60/704.52 = 432.24/x
  3. Step 3: Cross multiply
    510.60x = 704.52 × 432.24
  4. Step 4: Simplify right side
    510.60x = 304,521.72
  5. Step 5: Solve for x
    x = 304,521.72/510.60
  6. Step 6: Final answer
    x = 596.40

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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.