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Finding the Fourth Proportional to 514.40, 766.64 and 510.10

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Solution

The fourth proportional to 514.40, 766.64 and 510.10 is: 760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.40 : 766.64 = 510.10 : x
  2. Step 2: Convert to fraction form
    514.40/766.64 = 510.10/x
  3. Step 3: Cross multiply
    514.40x = 766.64 × 510.10
  4. Step 4: Simplify right side
    514.40x = 391,066.47
  5. Step 5: Solve for x
    x = 391,066.47/514.40
  6. Step 6: Final answer
    x = 760.24

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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.