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Finding the Fourth Proportional to 586.26, 807.93 and 507.33

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Solution

The fourth proportional to 586.26, 807.93 and 507.33 is: 699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 807.93 = 507.33 : x
  2. Step 2: Convert to fraction form
    586.26/807.93 = 507.33/x
  3. Step 3: Cross multiply
    586.26x = 807.93 × 507.33
  4. Step 4: Simplify right side
    586.26x = 409,887.13
  5. Step 5: Solve for x
    x = 409,887.13/586.26
  6. Step 6: Final answer
    x = 699.16

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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.