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Finding the Fourth Proportional to 530.08, 730.56 and 467.12

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Solution

The fourth proportional to 530.08, 730.56 and 467.12 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 730.56 = 467.12 : x
  2. Step 2: Convert to fraction form
    530.08/730.56 = 467.12/x
  3. Step 3: Cross multiply
    530.08x = 730.56 × 467.12
  4. Step 4: Simplify right side
    530.08x = 341,259.19
  5. Step 5: Solve for x
    x = 341,259.19/530.08
  6. Step 6: Final answer
    x = 643.79

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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.