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Finding the Fourth Proportional to 530.10, 725.69 and 511.65

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Solution

The fourth proportional to 530.10, 725.69 and 511.65 is: 700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 725.69 = 511.65 : x
  2. Step 2: Convert to fraction form
    530.10/725.69 = 511.65/x
  3. Step 3: Cross multiply
    530.10x = 725.69 × 511.65
  4. Step 4: Simplify right side
    530.10x = 371,300.57
  5. Step 5: Solve for x
    x = 371,300.57/530.10
  6. Step 6: Final answer
    x = 700.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.