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Finding the Fourth Proportional to 640.02, 960.30 and 530.40

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Solution

The fourth proportional to 640.02, 960.30 and 530.40 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.02 : 960.30 = 530.40 : x
  2. Step 2: Convert to fraction form
    640.02/960.30 = 530.40/x
  3. Step 3: Cross multiply
    640.02x = 960.30 × 530.40
  4. Step 4: Simplify right side
    640.02x = 509,343.12
  5. Step 5: Solve for x
    x = 509,343.12/640.02
  6. Step 6: Final answer
    x = 795.82

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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.