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Finding the Fourth Proportional to 904.07, 1,355.06 and 416.10

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Solution

The fourth proportional to 904.07, 1,355.06 and 416.10 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.07 : 1,355.06 = 416.10 : x
  2. Step 2: Convert to fraction form
    904.07/1,355.06 = 416.10/x
  3. Step 3: Cross multiply
    904.07x = 1,355.06 × 416.10
  4. Step 4: Simplify right side
    904.07x = 563,840.47
  5. Step 5: Solve for x
    x = 563,840.47/904.07
  6. Step 6: Final answer
    x = 623.67

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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.