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Finding the Fourth Proportional to 510.71, 700.02 and 503.51

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Solution

The fourth proportional to 510.71, 700.02 and 503.51 is: 690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.71 : 700.02 = 503.51 : x
  2. Step 2: Convert to fraction form
    510.71/700.02 = 503.51/x
  3. Step 3: Cross multiply
    510.71x = 700.02 × 503.51
  4. Step 4: Simplify right side
    510.71x = 352,463.57
  5. Step 5: Solve for x
    x = 352,463.57/510.71
  6. Step 6: Final answer
    x = 690.15

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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.