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Finding the Fourth Proportional to 628.47, 866.52 and 530.01

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Solution

The fourth proportional to 628.47, 866.52 and 530.01 is: 730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 866.52 = 530.01 : x
  2. Step 2: Convert to fraction form
    628.47/866.52 = 530.01/x
  3. Step 3: Cross multiply
    628.47x = 866.52 × 530.01
  4. Step 4: Simplify right side
    628.47x = 459,264.27
  5. Step 5: Solve for x
    x = 459,264.27/628.47
  6. Step 6: Final answer
    x = 730.77

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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.