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Finding the Fourth Proportional to 504.75, 753.04 and 456.15

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Solution

The fourth proportional to 504.75, 753.04 and 456.15 is: 680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.75 : 753.04 = 456.15 : x
  2. Step 2: Convert to fraction form
    504.75/753.04 = 456.15/x
  3. Step 3: Cross multiply
    504.75x = 753.04 × 456.15
  4. Step 4: Simplify right side
    504.75x = 343,498.06
  5. Step 5: Solve for x
    x = 343,498.06/504.75
  6. Step 6: Final answer
    x = 680.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.