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Finding the Fourth Proportional to 656.25, 904.82 and 538.08

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Solution

The fourth proportional to 656.25, 904.82 and 538.08 is: 741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 904.82 = 538.08 : x
  2. Step 2: Convert to fraction form
    656.25/904.82 = 538.08/x
  3. Step 3: Cross multiply
    656.25x = 904.82 × 538.08
  4. Step 4: Simplify right side
    656.25x = 486,862.86
  5. Step 5: Solve for x
    x = 486,862.86/656.25
  6. Step 6: Final answer
    x = 741.89

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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.