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Finding the Fourth Proportional to 530.28, 797.04 and 465.48

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Solution

The fourth proportional to 530.28, 797.04 and 465.48 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 797.04 = 465.48 : x
  2. Step 2: Convert to fraction form
    530.28/797.04 = 465.48/x
  3. Step 3: Cross multiply
    530.28x = 797.04 × 465.48
  4. Step 4: Simplify right side
    530.28x = 371,006.18
  5. Step 5: Solve for x
    x = 371,006.18/530.28
  6. Step 6: Final answer
    x = 699.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.