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Finding the Fourth Proportional to 501.04, 750.66 and 465.40

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Solution

The fourth proportional to 501.04, 750.66 and 465.40 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.04 : 750.66 = 465.40 : x
  2. Step 2: Convert to fraction form
    501.04/750.66 = 465.40/x
  3. Step 3: Cross multiply
    501.04x = 750.66 × 465.40
  4. Step 4: Simplify right side
    501.04x = 349,357.16
  5. Step 5: Solve for x
    x = 349,357.16/501.04
  6. Step 6: Final answer
    x = 697.26

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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.