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Finding the Fourth Proportional to 655.34, 904.80 and 407.03

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Solution

The fourth proportional to 655.34, 904.80 and 407.03 is: 561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.34 : 904.80 = 407.03 : x
  2. Step 2: Convert to fraction form
    655.34/904.80 = 407.03/x
  3. Step 3: Cross multiply
    655.34x = 904.80 × 407.03
  4. Step 4: Simplify right side
    655.34x = 368,280.74
  5. Step 5: Solve for x
    x = 368,280.74/655.34
  6. Step 6: Final answer
    x = 561.97

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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.