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Finding the Fourth Proportional to 534.77, 736.78 and 510.06

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Solution

The fourth proportional to 534.77, 736.78 and 510.06 is: 702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 736.78 = 510.06 : x
  2. Step 2: Convert to fraction form
    534.77/736.78 = 510.06/x
  3. Step 3: Cross multiply
    534.77x = 736.78 × 510.06
  4. Step 4: Simplify right side
    534.77x = 375,802.01
  5. Step 5: Solve for x
    x = 375,802.01/534.77
  6. Step 6: Final answer
    x = 702.74

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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.