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Finding the Fourth Proportional to 543.36, 746.40 and 507.36

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Solution

The fourth proportional to 543.36, 746.40 and 507.36 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 746.40 = 507.36 : x
  2. Step 2: Convert to fraction form
    543.36/746.40 = 507.36/x
  3. Step 3: Cross multiply
    543.36x = 746.40 × 507.36
  4. Step 4: Simplify right side
    543.36x = 378,693.50
  5. Step 5: Solve for x
    x = 378,693.50/543.36
  6. Step 6: Final answer
    x = 696.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.