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Finding the Fourth Proportional to 603.84, 904.80 and 410.88

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Solution

The fourth proportional to 603.84, 904.80 and 410.88 is: 615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 904.80 = 410.88 : x
  2. Step 2: Convert to fraction form
    603.84/904.80 = 410.88/x
  3. Step 3: Cross multiply
    603.84x = 904.80 × 410.88
  4. Step 4: Simplify right side
    603.84x = 371,764.22
  5. Step 5: Solve for x
    x = 371,764.22/603.84
  6. Step 6: Final answer
    x = 615.67

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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.