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Finding the Fourth Proportional to 514.44, 710.55 and 510.84

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Solution

The fourth proportional to 514.44, 710.55 and 510.84 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 710.55 = 510.84 : x
  2. Step 2: Convert to fraction form
    514.44/710.55 = 510.84/x
  3. Step 3: Cross multiply
    514.44x = 710.55 × 510.84
  4. Step 4: Simplify right side
    514.44x = 362,977.36
  5. Step 5: Solve for x
    x = 362,977.36/514.44
  6. Step 6: Final answer
    x = 705.58

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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.