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Finding the Fourth Proportional to 537.06, 801.15 and 530.02

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Solution

The fourth proportional to 537.06, 801.15 and 530.02 is: 790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 801.15 = 530.02 : x
  2. Step 2: Convert to fraction form
    537.06/801.15 = 530.02/x
  3. Step 3: Cross multiply
    537.06x = 801.15 × 530.02
  4. Step 4: Simplify right side
    537.06x = 424,622.87
  5. Step 5: Solve for x
    x = 424,622.87/537.06
  6. Step 6: Final answer
    x = 790.64

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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.